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Finding the Fourth Proportional to 831.88, 1,147.58 and 500.24

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Solution

The fourth proportional to 831.88, 1,147.58 and 500.24 is: 690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.88 : 1,147.58 = 500.24 : x
  2. Step 2: Convert to fraction form
    831.88/1,147.58 = 500.24/x
  3. Step 3: Cross multiply
    831.88x = 1,147.58 × 500.24
  4. Step 4: Simplify right side
    831.88x = 574,065.42
  5. Step 5: Solve for x
    x = 574,065.42/831.88
  6. Step 6: Final answer
    x = 690.08

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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.