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Finding the Fourth Proportional to 1,057.75, 1,459.71 and 592

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Solution

The fourth proportional to 1,057.75, 1,459.71 and 592 is: 816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.75 : 1,459.71 = 592 : x
  2. Step 2: Convert to fraction form
    1,057.75/1,459.71 = 592/x
  3. Step 3: Cross multiply
    1,057.75x = 1,459.71 × 592
  4. Step 4: Simplify right side
    1,057.75x = 864,148.32
  5. Step 5: Solve for x
    x = 864,148.32/1,057.75
  6. Step 6: Final answer
    x = 816.97

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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.