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Finding the Fourth Proportional to 804.62, 1,110.39 and 542.18

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Solution

The fourth proportional to 804.62, 1,110.39 and 542.18 is: 748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.62 : 1,110.39 = 542.18 : x
  2. Step 2: Convert to fraction form
    804.62/1,110.39 = 542.18/x
  3. Step 3: Cross multiply
    804.62x = 1,110.39 × 542.18
  4. Step 4: Simplify right side
    804.62x = 602,031.25
  5. Step 5: Solve for x
    x = 602,031.25/804.62
  6. Step 6: Final answer
    x = 748.22

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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.