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Finding the Fourth Proportional to 1,006, 1,507.76 and 542.64

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Solution

The fourth proportional to 1,006, 1,507.76 and 542.64 is: 813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006 : 1,507.76 = 542.64 : x
  2. Step 2: Convert to fraction form
    1,006/1,507.76 = 542.64/x
  3. Step 3: Cross multiply
    1,006x = 1,507.76 × 542.64
  4. Step 4: Simplify right side
    1,006x = 818,170.89
  5. Step 5: Solve for x
    x = 818,170.89/1,006
  6. Step 6: Final answer
    x = 813.29

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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.