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Finding the Fourth Proportional to 976.64, 1,463.84 and 542.72

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Solution

The fourth proportional to 976.64, 1,463.84 and 542.72 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.64 : 1,463.84 = 542.72 : x
  2. Step 2: Convert to fraction form
    976.64/1,463.84 = 542.72/x
  3. Step 3: Cross multiply
    976.64x = 1,463.84 × 542.72
  4. Step 4: Simplify right side
    976.64x = 794,455.24
  5. Step 5: Solve for x
    x = 794,455.24/976.64
  6. Step 6: Final answer
    x = 813.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.