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Finding the Fourth Proportional to 762.86, 1,145.27 and 397.90

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Solution

The fourth proportional to 762.86, 1,145.27 and 397.90 is: 597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.86 : 1,145.27 = 397.90 : x
  2. Step 2: Convert to fraction form
    762.86/1,145.27 = 397.90/x
  3. Step 3: Cross multiply
    762.86x = 1,145.27 × 397.90
  4. Step 4: Simplify right side
    762.86x = 455,702.93
  5. Step 5: Solve for x
    x = 455,702.93/762.86
  6. Step 6: Final answer
    x = 597.36

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