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Finding the Fourth Proportional to 1,041.50, 1,437.27 and 575.75

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Solution

The fourth proportional to 1,041.50, 1,437.27 and 575.75 is: 794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.50 : 1,437.27 = 575.75 : x
  2. Step 2: Convert to fraction form
    1,041.50/1,437.27 = 575.75/x
  3. Step 3: Cross multiply
    1,041.50x = 1,437.27 × 575.75
  4. Step 4: Simplify right side
    1,041.50x = 827,508.20
  5. Step 5: Solve for x
    x = 827,508.20/1,041.50
  6. Step 6: Final answer
    x = 794.54

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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.