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Finding the Fourth Proportional to 1,004.62, 1,507.34 and 542.11

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Solution

The fourth proportional to 1,004.62, 1,507.34 and 542.11 is: 813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.62 : 1,507.34 = 542.11 : x
  2. Step 2: Convert to fraction form
    1,004.62/1,507.34 = 542.11/x
  3. Step 3: Cross multiply
    1,004.62x = 1,507.34 × 542.11
  4. Step 4: Simplify right side
    1,004.62x = 817,144.09
  5. Step 5: Solve for x
    x = 817,144.09/1,004.62
  6. Step 6: Final answer
    x = 813.39

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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.