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Finding the Fourth Proportional to 1,057.24, 1,459.04 and 585.14

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Solution

The fourth proportional to 1,057.24, 1,459.04 and 585.14 is: 807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.24 : 1,459.04 = 585.14 : x
  2. Step 2: Convert to fraction form
    1,057.24/1,459.04 = 585.14/x
  3. Step 3: Cross multiply
    1,057.24x = 1,459.04 × 585.14
  4. Step 4: Simplify right side
    1,057.24x = 853,736.83
  5. Step 5: Solve for x
    x = 853,736.83/1,057.24
  6. Step 6: Final answer
    x = 807.51

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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.