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Finding the Fourth Proportional to 888.48, 1,334.16 and 767.52

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Solution

The fourth proportional to 888.48, 1,334.16 and 767.52 is: 1,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.48 : 1,334.16 = 767.52 : x
  2. Step 2: Convert to fraction form
    888.48/1,334.16 = 767.52/x
  3. Step 3: Cross multiply
    888.48x = 1,334.16 × 767.52
  4. Step 4: Simplify right side
    888.48x = 1,023,994.48
  5. Step 5: Solve for x
    x = 1,023,994.48/888.48
  6. Step 6: Final answer
    x = 1,152.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.