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Finding the Fourth Proportional to 731.04, 1,094.76 and 470.22

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Solution

The fourth proportional to 731.04, 1,094.76 and 470.22 is: 704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.04 : 1,094.76 = 470.22 : x
  2. Step 2: Convert to fraction form
    731.04/1,094.76 = 470.22/x
  3. Step 3: Cross multiply
    731.04x = 1,094.76 × 470.22
  4. Step 4: Simplify right side
    731.04x = 514,778.05
  5. Step 5: Solve for x
    x = 514,778.05/731.04
  6. Step 6: Final answer
    x = 704.17

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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.