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Finding the Fourth Proportional to 731.80, 1,009.36 and 469.56

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Solution

The fourth proportional to 731.80, 1,009.36 and 469.56 is: 647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.80 : 1,009.36 = 469.56 : x
  2. Step 2: Convert to fraction form
    731.80/1,009.36 = 469.56/x
  3. Step 3: Cross multiply
    731.80x = 1,009.36 × 469.56
  4. Step 4: Simplify right side
    731.80x = 473,955.08
  5. Step 5: Solve for x
    x = 473,955.08/731.80
  6. Step 6: Final answer
    x = 647.66

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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.