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Finding the Fourth Proportional to 831.70, 1,147.76 and 500.14

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Solution

The fourth proportional to 831.70, 1,147.76 and 500.14 is: 690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.70 : 1,147.76 = 500.14 : x
  2. Step 2: Convert to fraction form
    831.70/1,147.76 = 500.14/x
  3. Step 3: Cross multiply
    831.70x = 1,147.76 × 500.14
  4. Step 4: Simplify right side
    831.70x = 574,035.04
  5. Step 5: Solve for x
    x = 574,035.04/831.70
  6. Step 6: Final answer
    x = 690.19

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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.