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Finding the Fourth Proportional to 1,043.40, 1,557.84 and 939.72

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Solution

The fourth proportional to 1,043.40, 1,557.84 and 939.72 is: 1,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.40 : 1,557.84 = 939.72 : x
  2. Step 2: Convert to fraction form
    1,043.40/1,557.84 = 939.72/x
  3. Step 3: Cross multiply
    1,043.40x = 1,557.84 × 939.72
  4. Step 4: Simplify right side
    1,043.40x = 1,463,933.40
  5. Step 5: Solve for x
    x = 1,463,933.40/1,043.40
  6. Step 6: Final answer
    x = 1,403.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.