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Finding the Fourth Proportional to 1,004.78, 1,507.80 and 542.87

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Solution

The fourth proportional to 1,004.78, 1,507.80 and 542.87 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.78 : 1,507.80 = 542.87 : x
  2. Step 2: Convert to fraction form
    1,004.78/1,507.80 = 542.87/x
  3. Step 3: Cross multiply
    1,004.78x = 1,507.80 × 542.87
  4. Step 4: Simplify right side
    1,004.78x = 818,539.39
  5. Step 5: Solve for x
    x = 818,539.39/1,004.78
  6. Step 6: Final answer
    x = 814.65

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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.