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Finding the Fourth Proportional to 1,057.60, 1,459.47 and 591.85

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Solution

The fourth proportional to 1,057.60, 1,459.47 and 591.85 is: 816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.60 : 1,459.47 = 591.85 : x
  2. Step 2: Convert to fraction form
    1,057.60/1,459.47 = 591.85/x
  3. Step 3: Cross multiply
    1,057.60x = 1,459.47 × 591.85
  4. Step 4: Simplify right side
    1,057.60x = 863,787.32
  5. Step 5: Solve for x
    x = 863,787.32/1,057.60
  6. Step 6: Final answer
    x = 816.74

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Why These Related Problems?

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