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Finding the Fourth Proportional to 1,041.22, 1,436.88 and 575.47

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Solution

The fourth proportional to 1,041.22, 1,436.88 and 575.47 is: 794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.22 : 1,436.88 = 575.47 : x
  2. Step 2: Convert to fraction form
    1,041.22/1,436.88 = 575.47/x
  3. Step 3: Cross multiply
    1,041.22x = 1,436.88 × 575.47
  4. Step 4: Simplify right side
    1,041.22x = 826,882.77
  5. Step 5: Solve for x
    x = 826,882.77/1,041.22
  6. Step 6: Final answer
    x = 794.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.