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Finding the Fourth Proportional to 704.22, 1,057.36 and 500.10

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Solution

The fourth proportional to 704.22, 1,057.36 and 500.10 is: 750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.22 : 1,057.36 = 500.10 : x
  2. Step 2: Convert to fraction form
    704.22/1,057.36 = 500.10/x
  3. Step 3: Cross multiply
    704.22x = 1,057.36 × 500.10
  4. Step 4: Simplify right side
    704.22x = 528,785.74
  5. Step 5: Solve for x
    x = 528,785.74/704.22
  6. Step 6: Final answer
    x = 750.88

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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.