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Finding the Fourth Proportional to 1,041.89, 1,438.32 and 649.04

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Solution

The fourth proportional to 1,041.89, 1,438.32 and 649.04 is: 895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.89 : 1,438.32 = 649.04 : x
  2. Step 2: Convert to fraction form
    1,041.89/1,438.32 = 649.04/x
  3. Step 3: Cross multiply
    1,041.89x = 1,438.32 × 649.04
  4. Step 4: Simplify right side
    1,041.89x = 933,520.02
  5. Step 5: Solve for x
    x = 933,520.02/1,041.89
  6. Step 6: Final answer
    x = 895.99

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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.