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Finding the Fourth Proportional to 749.09, 1,033.72 and 469.47

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Solution

The fourth proportional to 749.09, 1,033.72 and 469.47 is: 647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.09 : 1,033.72 = 469.47 : x
  2. Step 2: Convert to fraction form
    749.09/1,033.72 = 469.47/x
  3. Step 3: Cross multiply
    749.09x = 1,033.72 × 469.47
  4. Step 4: Simplify right side
    749.09x = 485,301.12
  5. Step 5: Solve for x
    x = 485,301.12/749.09
  6. Step 6: Final answer
    x = 647.86

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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.