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Finding the Fourth Proportional to 747.09, 1,031.07 and 436.59

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Solution

The fourth proportional to 747.09, 1,031.07 and 436.59 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.09 : 1,031.07 = 436.59 : x
  2. Step 2: Convert to fraction form
    747.09/1,031.07 = 436.59/x
  3. Step 3: Cross multiply
    747.09x = 1,031.07 × 436.59
  4. Step 4: Simplify right side
    747.09x = 450,154.85
  5. Step 5: Solve for x
    x = 450,154.85/747.09
  6. Step 6: Final answer
    x = 602.54

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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.