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Finding the Fourth Proportional to 765.36, 1,146.36 and 591.57

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Solution

The fourth proportional to 765.36, 1,146.36 and 591.57 is: 886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.36 : 1,146.36 = 591.57 : x
  2. Step 2: Convert to fraction form
    765.36/1,146.36 = 591.57/x
  3. Step 3: Cross multiply
    765.36x = 1,146.36 × 591.57
  4. Step 4: Simplify right side
    765.36x = 678,154.40
  5. Step 5: Solve for x
    x = 678,154.40/765.36
  6. Step 6: Final answer
    x = 886.06

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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.