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Finding the Fourth Proportional to 888, 1,225.56 and 578.16

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Solution

The fourth proportional to 888, 1,225.56 and 578.16 is: 797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    888 : 1,225.56 = 578.16 : x
  2. Step 2: Convert to fraction form
    888/1,225.56 = 578.16/x
  3. Step 3: Cross multiply
    888x = 1,225.56 × 578.16
  4. Step 4: Simplify right side
    888x = 708,569.77
  5. Step 5: Solve for x
    x = 708,569.77/888
  6. Step 6: Final answer
    x = 797.94

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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.