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Finding the Fourth Proportional to 653.52, 985.10 and 615.90

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Solution

The fourth proportional to 653.52, 985.10 and 615.90 is: 928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 985.10 = 615.90 : x
  2. Step 2: Convert to fraction form
    653.52/985.10 = 615.90/x
  3. Step 3: Cross multiply
    653.52x = 985.10 × 615.90
  4. Step 4: Simplify right side
    653.52x = 606,723.09
  5. Step 5: Solve for x
    x = 606,723.09/653.52
  6. Step 6: Final answer
    x = 928.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.