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Finding the Fourth Proportional to 1,125.06, 1,684.98 and 575.88

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Solution

The fourth proportional to 1,125.06, 1,684.98 and 575.88 is: 862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.06 : 1,684.98 = 575.88 : x
  2. Step 2: Convert to fraction form
    1,125.06/1,684.98 = 575.88/x
  3. Step 3: Cross multiply
    1,125.06x = 1,684.98 × 575.88
  4. Step 4: Simplify right side
    1,125.06x = 970,346.28
  5. Step 5: Solve for x
    x = 970,346.28/1,125.06
  6. Step 6: Final answer
    x = 862.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.