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Finding the Fourth Proportional to 651.32, 978.84 and 542.31

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Solution

The fourth proportional to 651.32, 978.84 and 542.31 is: 815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.32 : 978.84 = 542.31 : x
  2. Step 2: Convert to fraction form
    651.32/978.84 = 542.31/x
  3. Step 3: Cross multiply
    651.32x = 978.84 × 542.31
  4. Step 4: Simplify right side
    651.32x = 530,834.72
  5. Step 5: Solve for x
    x = 530,834.72/651.32
  6. Step 6: Final answer
    x = 815.02

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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.