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Finding the Fourth Proportional to 1,059.61, 1,462.25 and 587.53

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Solution

The fourth proportional to 1,059.61, 1,462.25 and 587.53 is: 810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.61 : 1,462.25 = 587.53 : x
  2. Step 2: Convert to fraction form
    1,059.61/1,462.25 = 587.53/x
  3. Step 3: Cross multiply
    1,059.61x = 1,462.25 × 587.53
  4. Step 4: Simplify right side
    1,059.61x = 859,115.74
  5. Step 5: Solve for x
    x = 859,115.74/1,059.61
  6. Step 6: Final answer
    x = 810.78

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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.