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Finding the Fourth Proportional to 831.87, 1,148.24 and 536.91

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Solution

The fourth proportional to 831.87, 1,148.24 and 536.91 is: 741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.87 : 1,148.24 = 536.91 : x
  2. Step 2: Convert to fraction form
    831.87/1,148.24 = 536.91/x
  3. Step 3: Cross multiply
    831.87x = 1,148.24 × 536.91
  4. Step 4: Simplify right side
    831.87x = 616,501.54
  5. Step 5: Solve for x
    x = 616,501.54/831.87
  6. Step 6: Final answer
    x = 741.10

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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.