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Finding the Fourth Proportional to 1,039.87, 1,435.10 and 591.88

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Solution

The fourth proportional to 1,039.87, 1,435.10 and 591.88 is: 816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.87 : 1,435.10 = 591.88 : x
  2. Step 2: Convert to fraction form
    1,039.87/1,435.10 = 591.88/x
  3. Step 3: Cross multiply
    1,039.87x = 1,435.10 × 591.88
  4. Step 4: Simplify right side
    1,039.87x = 849,404.88
  5. Step 5: Solve for x
    x = 849,404.88/1,039.87
  6. Step 6: Final answer
    x = 816.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.