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Finding the Fourth Proportional to 808.35, 1,114.14 and 542.31

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Solution

The fourth proportional to 808.35, 1,114.14 and 542.31 is: 747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.35 : 1,114.14 = 542.31 : x
  2. Step 2: Convert to fraction form
    808.35/1,114.14 = 542.31/x
  3. Step 3: Cross multiply
    808.35x = 1,114.14 × 542.31
  4. Step 4: Simplify right side
    808.35x = 604,209.26
  5. Step 5: Solve for x
    x = 604,209.26/808.35
  6. Step 6: Final answer
    x = 747.46

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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.