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Finding the Fourth Proportional to 607.14, 909.90 and 542.07

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Solution

The fourth proportional to 607.14, 909.90 and 542.07 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.14 : 909.90 = 542.07 : x
  2. Step 2: Convert to fraction form
    607.14/909.90 = 542.07/x
  3. Step 3: Cross multiply
    607.14x = 909.90 × 542.07
  4. Step 4: Simplify right side
    607.14x = 493,229.49
  5. Step 5: Solve for x
    x = 493,229.49/607.14
  6. Step 6: Final answer
    x = 812.38

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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.