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Finding the Fourth Proportional to 1,057.49, 1,459.30 and 585.43

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Solution

The fourth proportional to 1,057.49, 1,459.30 and 585.43 is: 807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.49 : 1,459.30 = 585.43 : x
  2. Step 2: Convert to fraction form
    1,057.49/1,459.30 = 585.43/x
  3. Step 3: Cross multiply
    1,057.49x = 1,459.30 × 585.43
  4. Step 4: Simplify right side
    1,057.49x = 854,318.00
  5. Step 5: Solve for x
    x = 854,318.00/1,057.49
  6. Step 6: Final answer
    x = 807.87

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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.