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Finding the Fourth Proportional to 1,041.12, 1,436.82 and 575.36

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Solution

The fourth proportional to 1,041.12, 1,436.82 and 575.36 is: 794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.12 : 1,436.82 = 575.36 : x
  2. Step 2: Convert to fraction form
    1,041.12/1,436.82 = 575.36/x
  3. Step 3: Cross multiply
    1,041.12x = 1,436.82 × 575.36
  4. Step 4: Simplify right side
    1,041.12x = 826,688.76
  5. Step 5: Solve for x
    x = 826,688.76/1,041.12
  6. Step 6: Final answer
    x = 794.04

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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.