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Finding the Fourth Proportional to 1,057.29, 1,459.16 and 585.30

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Solution

The fourth proportional to 1,057.29, 1,459.16 and 585.30 is: 807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.29 : 1,459.16 = 585.30 : x
  2. Step 2: Convert to fraction form
    1,057.29/1,459.16 = 585.30/x
  3. Step 3: Cross multiply
    1,057.29x = 1,459.16 × 585.30
  4. Step 4: Simplify right side
    1,057.29x = 854,036.13
  5. Step 5: Solve for x
    x = 854,036.13/1,057.29
  6. Step 6: Final answer
    x = 807.76

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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.