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Finding the Fourth Proportional to 831.10, 1,146.66 and 535.84

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Solution

The fourth proportional to 831.10, 1,146.66 and 535.84 is: 739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.10 : 1,146.66 = 535.84 : x
  2. Step 2: Convert to fraction form
    831.10/1,146.66 = 535.84/x
  3. Step 3: Cross multiply
    831.10x = 1,146.66 × 535.84
  4. Step 4: Simplify right side
    831.10x = 614,426.29
  5. Step 5: Solve for x
    x = 614,426.29/831.10
  6. Step 6: Final answer
    x = 739.29

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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.