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Finding the Fourth Proportional to 704.34, 1,061.29 and 585.27

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Solution

The fourth proportional to 704.34, 1,061.29 and 585.27 is: 881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.34 : 1,061.29 = 585.27 : x
  2. Step 2: Convert to fraction form
    704.34/1,061.29 = 585.27/x
  3. Step 3: Cross multiply
    704.34x = 1,061.29 × 585.27
  4. Step 4: Simplify right side
    704.34x = 621,141.20
  5. Step 5: Solve for x
    x = 621,141.20/704.34
  6. Step 6: Final answer
    x = 881.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.