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Finding the Fourth Proportional to 831.11, 1,146.93 and 477.04

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Solution

The fourth proportional to 831.11, 1,146.93 and 477.04 is: 658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.11 : 1,146.93 = 477.04 : x
  2. Step 2: Convert to fraction form
    831.11/1,146.93 = 477.04/x
  3. Step 3: Cross multiply
    831.11x = 1,146.93 × 477.04
  4. Step 4: Simplify right side
    831.11x = 547,128.98
  5. Step 5: Solve for x
    x = 547,128.98/831.11
  6. Step 6: Final answer
    x = 658.31

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.