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Finding the Fourth Proportional to 888.04, 1,225.78 and 557

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Solution

The fourth proportional to 888.04, 1,225.78 and 557 is: 768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.04 : 1,225.78 = 557 : x
  2. Step 2: Convert to fraction form
    888.04/1,225.78 = 557/x
  3. Step 3: Cross multiply
    888.04x = 1,225.78 × 557
  4. Step 4: Simplify right side
    888.04x = 682,759.46
  5. Step 5: Solve for x
    x = 682,759.46/888.04
  6. Step 6: Final answer
    x = 768.84

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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.