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Finding the Fourth Proportional to 929.64, 1,393.22 and 831.52

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Solution

The fourth proportional to 929.64, 1,393.22 and 831.52 is: 1,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.64 : 1,393.22 = 831.52 : x
  2. Step 2: Convert to fraction form
    929.64/1,393.22 = 831.52/x
  3. Step 3: Cross multiply
    929.64x = 1,393.22 × 831.52
  4. Step 4: Simplify right side
    929.64x = 1,158,490.29
  5. Step 5: Solve for x
    x = 1,158,490.29/929.64
  6. Step 6: Final answer
    x = 1,246.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.