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Finding the Fourth Proportional to 831.24, 1,147.08 and 477.24

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Solution

The fourth proportional to 831.24, 1,147.08 and 477.24 is: 658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.24 : 1,147.08 = 477.24 : x
  2. Step 2: Convert to fraction form
    831.24/1,147.08 = 477.24/x
  3. Step 3: Cross multiply
    831.24x = 1,147.08 × 477.24
  4. Step 4: Simplify right side
    831.24x = 547,432.46
  5. Step 5: Solve for x
    x = 547,432.46/831.24
  6. Step 6: Final answer
    x = 658.57

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.