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Finding the Fourth Proportional to 1,041.96, 1,560.51 and 630.75

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Solution

The fourth proportional to 1,041.96, 1,560.51 and 630.75 is: 944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.96 : 1,560.51 = 630.75 : x
  2. Step 2: Convert to fraction form
    1,041.96/1,560.51 = 630.75/x
  3. Step 3: Cross multiply
    1,041.96x = 1,560.51 × 630.75
  4. Step 4: Simplify right side
    1,041.96x = 984,291.68
  5. Step 5: Solve for x
    x = 984,291.68/1,041.96
  6. Step 6: Final answer
    x = 944.65

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