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Finding the Fourth Proportional to 704.24, 1,057.74 and 430.88

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Solution

The fourth proportional to 704.24, 1,057.74 and 430.88 is: 647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.24 : 1,057.74 = 430.88 : x
  2. Step 2: Convert to fraction form
    704.24/1,057.74 = 430.88/x
  3. Step 3: Cross multiply
    704.24x = 1,057.74 × 430.88
  4. Step 4: Simplify right side
    704.24x = 455,759.01
  5. Step 5: Solve for x
    x = 455,759.01/704.24
  6. Step 6: Final answer
    x = 647.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.