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Finding the Fourth Proportional to 731.77, 1,009.06 and 469.74

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Solution

The fourth proportional to 731.77, 1,009.06 and 469.74 is: 647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.77 : 1,009.06 = 469.74 : x
  2. Step 2: Convert to fraction form
    731.77/1,009.06 = 469.74/x
  3. Step 3: Cross multiply
    731.77x = 1,009.06 × 469.74
  4. Step 4: Simplify right side
    731.77x = 473,995.84
  5. Step 5: Solve for x
    x = 473,995.84/731.77
  6. Step 6: Final answer
    x = 647.74

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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.