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Finding the Fourth Proportional to 709.04, 978.96 and 542.96

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Solution

The fourth proportional to 709.04, 978.96 and 542.96 is: 749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.04 : 978.96 = 542.96 : x
  2. Step 2: Convert to fraction form
    709.04/978.96 = 542.96/x
  3. Step 3: Cross multiply
    709.04x = 978.96 × 542.96
  4. Step 4: Simplify right side
    709.04x = 531,536.12
  5. Step 5: Solve for x
    x = 531,536.12/709.04
  6. Step 6: Final answer
    x = 749.66

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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.