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Finding the Fourth Proportional to 1,041.85, 1,437.50 and 648.59

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Solution

The fourth proportional to 1,041.85, 1,437.50 and 648.59 is: 894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.85 : 1,437.50 = 648.59 : x
  2. Step 2: Convert to fraction form
    1,041.85/1,437.50 = 648.59/x
  3. Step 3: Cross multiply
    1,041.85x = 1,437.50 × 648.59
  4. Step 4: Simplify right side
    1,041.85x = 932,344.88
  5. Step 5: Solve for x
    x = 932,344.88/1,041.85
  6. Step 6: Final answer
    x = 894.90

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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.