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Finding the Fourth Proportional to 1,057.38, 1,459.18 and 591.63

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Solution

The fourth proportional to 1,057.38, 1,459.18 and 591.63 is: 816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.38 : 1,459.18 = 591.63 : x
  2. Step 2: Convert to fraction form
    1,057.38/1,459.18 = 591.63/x
  3. Step 3: Cross multiply
    1,057.38x = 1,459.18 × 591.63
  4. Step 4: Simplify right side
    1,057.38x = 863,294.66
  5. Step 5: Solve for x
    x = 863,294.66/1,057.38
  6. Step 6: Final answer
    x = 816.45

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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.