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Finding the Fourth Proportional to 932.32, 1,286.04 and 583.12

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Solution

The fourth proportional to 932.32, 1,286.04 and 583.12 is: 804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.32 : 1,286.04 = 583.12 : x
  2. Step 2: Convert to fraction form
    932.32/1,286.04 = 583.12/x
  3. Step 3: Cross multiply
    932.32x = 1,286.04 × 583.12
  4. Step 4: Simplify right side
    932.32x = 749,915.64
  5. Step 5: Solve for x
    x = 749,915.64/932.32
  6. Step 6: Final answer
    x = 804.35

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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.