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Finding the Fourth Proportional to 747.10, 1,119.03 and 602.92

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Solution

The fourth proportional to 747.10, 1,119.03 and 602.92 is: 903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.10 : 1,119.03 = 602.92 : x
  2. Step 2: Convert to fraction form
    747.10/1,119.03 = 602.92/x
  3. Step 3: Cross multiply
    747.10x = 1,119.03 × 602.92
  4. Step 4: Simplify right side
    747.10x = 674,685.57
  5. Step 5: Solve for x
    x = 674,685.57/747.10
  6. Step 6: Final answer
    x = 903.07

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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.