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Finding the Fourth Proportional to 1,057.40, 1,459.14 and 585.17

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Solution

The fourth proportional to 1,057.40, 1,459.14 and 585.17 is: 807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.40 : 1,459.14 = 585.17 : x
  2. Step 2: Convert to fraction form
    1,057.40/1,459.14 = 585.17/x
  3. Step 3: Cross multiply
    1,057.40x = 1,459.14 × 585.17
  4. Step 4: Simplify right side
    1,057.40x = 853,844.95
  5. Step 5: Solve for x
    x = 853,844.95/1,057.40
  6. Step 6: Final answer
    x = 807.49

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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.