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Finding the Fourth Proportional to 758.88, 1,142.52 and 595.22

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Solution

The fourth proportional to 758.88, 1,142.52 and 595.22 is: 896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.88 : 1,142.52 = 595.22 : x
  2. Step 2: Convert to fraction form
    758.88/1,142.52 = 595.22/x
  3. Step 3: Cross multiply
    758.88x = 1,142.52 × 595.22
  4. Step 4: Simplify right side
    758.88x = 680,045.04
  5. Step 5: Solve for x
    x = 680,045.04/758.88
  6. Step 6: Final answer
    x = 896.12

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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.