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Finding the Fourth Proportional to 831.77, 1,148.06 and 537.23

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Solution

The fourth proportional to 831.77, 1,148.06 and 537.23 is: 741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.77 : 1,148.06 = 537.23 : x
  2. Step 2: Convert to fraction form
    831.77/1,148.06 = 537.23/x
  3. Step 3: Cross multiply
    831.77x = 1,148.06 × 537.23
  4. Step 4: Simplify right side
    831.77x = 616,763.85
  5. Step 5: Solve for x
    x = 616,763.85/831.77
  6. Step 6: Final answer
    x = 741.51

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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.