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Finding the Fourth Proportional to 1,040.89, 1,436.43 and 568.78

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Solution

The fourth proportional to 1,040.89, 1,436.43 and 568.78 is: 784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.89 : 1,436.43 = 568.78 : x
  2. Step 2: Convert to fraction form
    1,040.89/1,436.43 = 568.78/x
  3. Step 3: Cross multiply
    1,040.89x = 1,436.43 × 568.78
  4. Step 4: Simplify right side
    1,040.89x = 817,006.78
  5. Step 5: Solve for x
    x = 817,006.78/1,040.89
  6. Step 6: Final answer
    x = 784.91

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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.