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Finding the Fourth Proportional to 1,552.77, 2,329.56 and 579.15

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Solution

The fourth proportional to 1,552.77, 2,329.56 and 579.15 is: 868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.77 : 2,329.56 = 579.15 : x
  2. Step 2: Convert to fraction form
    1,552.77/2,329.56 = 579.15/x
  3. Step 3: Cross multiply
    1,552.77x = 2,329.56 × 579.15
  4. Step 4: Simplify right side
    1,552.77x = 1,349,164.67
  5. Step 5: Solve for x
    x = 1,349,164.67/1,552.77
  6. Step 6: Final answer
    x = 868.88

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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.