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Finding the Fourth Proportional to 928.64, 1,383.62 and 915.28

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Solution

The fourth proportional to 928.64, 1,383.62 and 915.28 is: 1,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.64 : 1,383.62 = 915.28 : x
  2. Step 2: Convert to fraction form
    928.64/1,383.62 = 915.28/x
  3. Step 3: Cross multiply
    928.64x = 1,383.62 × 915.28
  4. Step 4: Simplify right side
    928.64x = 1,266,399.71
  5. Step 5: Solve for x
    x = 1,266,399.71/928.64
  6. Step 6: Final answer
    x = 1,363.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.