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Finding the Fourth Proportional to 765.52, 1,145.85 and 603.52

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Solution

The fourth proportional to 765.52, 1,145.85 and 603.52 is: 903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.52 : 1,145.85 = 603.52 : x
  2. Step 2: Convert to fraction form
    765.52/1,145.85 = 603.52/x
  3. Step 3: Cross multiply
    765.52x = 1,145.85 × 603.52
  4. Step 4: Simplify right side
    765.52x = 691,543.39
  5. Step 5: Solve for x
    x = 691,543.39/765.52
  6. Step 6: Final answer
    x = 903.36

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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.