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Finding the Fourth Proportional to 961.77, 1,442.70 and 345.77

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Solution

The fourth proportional to 961.77, 1,442.70 and 345.77 is: 518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.77 : 1,442.70 = 345.77 : x
  2. Step 2: Convert to fraction form
    961.77/1,442.70 = 345.77/x
  3. Step 3: Cross multiply
    961.77x = 1,442.70 × 345.77
  4. Step 4: Simplify right side
    961.77x = 498,842.38
  5. Step 5: Solve for x
    x = 498,842.38/961.77
  6. Step 6: Final answer
    x = 518.67

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.