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Finding the Fourth Proportional to 1,115.69, 1,673.54 and 465.67

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Solution

The fourth proportional to 1,115.69, 1,673.54 and 465.67 is: 698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.69 : 1,673.54 = 465.67 : x
  2. Step 2: Convert to fraction form
    1,115.69/1,673.54 = 465.67/x
  3. Step 3: Cross multiply
    1,115.69x = 1,673.54 × 465.67
  4. Step 4: Simplify right side
    1,115.69x = 779,306.68
  5. Step 5: Solve for x
    x = 779,306.68/1,115.69
  6. Step 6: Final answer
    x = 698.50

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Half scale
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Double scale
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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.