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Finding the Fourth Proportional to 1,059.82, 1,462.55 and 594.07

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Solution

The fourth proportional to 1,059.82, 1,462.55 and 594.07 is: 819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.82 : 1,462.55 = 594.07 : x
  2. Step 2: Convert to fraction form
    1,059.82/1,462.55 = 594.07/x
  3. Step 3: Cross multiply
    1,059.82x = 1,462.55 × 594.07
  4. Step 4: Simplify right side
    1,059.82x = 868,862.02
  5. Step 5: Solve for x
    x = 868,862.02/1,059.82
  6. Step 6: Final answer
    x = 819.82

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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.