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Finding the Fourth Proportional to 590.75, 813.37 and 572.12

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Solution

The fourth proportional to 590.75, 813.37 and 572.12 is: 787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.75 : 813.37 = 572.12 : x
  2. Step 2: Convert to fraction form
    590.75/813.37 = 572.12/x
  3. Step 3: Cross multiply
    590.75x = 813.37 × 572.12
  4. Step 4: Simplify right side
    590.75x = 465,345.24
  5. Step 5: Solve for x
    x = 465,345.24/590.75
  6. Step 6: Final answer
    x = 787.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.