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Finding the Fourth Proportional to 615.60, 851.52 and 546.72

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Solution

The fourth proportional to 615.60, 851.52 and 546.72 is: 756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.60 : 851.52 = 546.72 : x
  2. Step 2: Convert to fraction form
    615.60/851.52 = 546.72/x
  3. Step 3: Cross multiply
    615.60x = 851.52 × 546.72
  4. Step 4: Simplify right side
    615.60x = 465,543.01
  5. Step 5: Solve for x
    x = 465,543.01/615.60
  6. Step 6: Final answer
    x = 756.24

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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.