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Finding the Fourth Proportional to 762.78, 1,142.10 and 599.52

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Solution

The fourth proportional to 762.78, 1,142.10 and 599.52 is: 897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,142.10 = 599.52 : x
  2. Step 2: Convert to fraction form
    762.78/1,142.10 = 599.52/x
  3. Step 3: Cross multiply
    762.78x = 1,142.10 × 599.52
  4. Step 4: Simplify right side
    762.78x = 684,711.79
  5. Step 5: Solve for x
    x = 684,711.79/762.78
  6. Step 6: Final answer
    x = 897.65

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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.