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Finding the Fourth Proportional to 704.91, 1,053.26 and 595.56

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Solution

The fourth proportional to 704.91, 1,053.26 and 595.56 is: 889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.91 : 1,053.26 = 595.56 : x
  2. Step 2: Convert to fraction form
    704.91/1,053.26 = 595.56/x
  3. Step 3: Cross multiply
    704.91x = 1,053.26 × 595.56
  4. Step 4: Simplify right side
    704.91x = 627,279.53
  5. Step 5: Solve for x
    x = 627,279.53/704.91
  6. Step 6: Final answer
    x = 889.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.