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Finding the Fourth Proportional to 1,057.62, 1,459.39 and 585.46

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Solution

The fourth proportional to 1,057.62, 1,459.39 and 585.46 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.62 : 1,459.39 = 585.46 : x
  2. Step 2: Convert to fraction form
    1,057.62/1,459.39 = 585.46/x
  3. Step 3: Cross multiply
    1,057.62x = 1,459.39 × 585.46
  4. Step 4: Simplify right side
    1,057.62x = 854,409.36
  5. Step 5: Solve for x
    x = 854,409.36/1,057.62
  6. Step 6: Final answer
    x = 807.86

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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.