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Finding the Fourth Proportional to 924.58, 1,276.14 and 831.16

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Solution

The fourth proportional to 924.58, 1,276.14 and 831.16 is: 1,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.58 : 1,276.14 = 831.16 : x
  2. Step 2: Convert to fraction form
    924.58/1,276.14 = 831.16/x
  3. Step 3: Cross multiply
    924.58x = 1,276.14 × 831.16
  4. Step 4: Simplify right side
    924.58x = 1,060,676.52
  5. Step 5: Solve for x
    x = 1,060,676.52/924.58
  6. Step 6: Final answer
    x = 1,147.20

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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.