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Finding the Fourth Proportional to 763.07, 1,142.91 and 397.08

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Solution

The fourth proportional to 763.07, 1,142.91 and 397.08 is: 594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.07 : 1,142.91 = 397.08 : x
  2. Step 2: Convert to fraction form
    763.07/1,142.91 = 397.08/x
  3. Step 3: Cross multiply
    763.07x = 1,142.91 × 397.08
  4. Step 4: Simplify right side
    763.07x = 453,826.70
  5. Step 5: Solve for x
    x = 453,826.70/763.07
  6. Step 6: Final answer
    x = 594.74

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Why These Related Problems?

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