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Finding the Fourth Proportional to 1,059.62, 1,462.14 and 587.46

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Solution

The fourth proportional to 1,059.62, 1,462.14 and 587.46 is: 810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.62 : 1,462.14 = 587.46 : x
  2. Step 2: Convert to fraction form
    1,059.62/1,462.14 = 587.46/x
  3. Step 3: Cross multiply
    1,059.62x = 1,462.14 × 587.46
  4. Step 4: Simplify right side
    1,059.62x = 858,948.76
  5. Step 5: Solve for x
    x = 858,948.76/1,059.62
  6. Step 6: Final answer
    x = 810.62

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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.