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Finding the Fourth Proportional to 831.60, 1,147.14 and 482.24

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Solution

The fourth proportional to 831.60, 1,147.14 and 482.24 is: 665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.60 : 1,147.14 = 482.24 : x
  2. Step 2: Convert to fraction form
    831.60/1,147.14 = 482.24/x
  3. Step 3: Cross multiply
    831.60x = 1,147.14 × 482.24
  4. Step 4: Simplify right side
    831.60x = 553,196.79
  5. Step 5: Solve for x
    x = 553,196.79/831.60
  6. Step 6: Final answer
    x = 665.22

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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.