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Finding the Fourth Proportional to 960.74, 1,442.45 and 492.54

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Solution

The fourth proportional to 960.74, 1,442.45 and 492.54 is: 739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.74 : 1,442.45 = 492.54 : x
  2. Step 2: Convert to fraction form
    960.74/1,442.45 = 492.54/x
  3. Step 3: Cross multiply
    960.74x = 1,442.45 × 492.54
  4. Step 4: Simplify right side
    960.74x = 710,464.32
  5. Step 5: Solve for x
    x = 710,464.32/960.74
  6. Step 6: Final answer
    x = 739.50

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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.