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Finding the Fourth Proportional to 761.02, 1,143.66 and 452.92

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Solution

The fourth proportional to 761.02, 1,143.66 and 452.92 is: 680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.02 : 1,143.66 = 452.92 : x
  2. Step 2: Convert to fraction form
    761.02/1,143.66 = 452.92/x
  3. Step 3: Cross multiply
    761.02x = 1,143.66 × 452.92
  4. Step 4: Simplify right side
    761.02x = 517,986.49
  5. Step 5: Solve for x
    x = 517,986.49/761.02
  6. Step 6: Final answer
    x = 680.65

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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.