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Finding the Fourth Proportional to 919.52, 1,377.12 and 593.36

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Solution

The fourth proportional to 919.52, 1,377.12 and 593.36 is: 888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.52 : 1,377.12 = 593.36 : x
  2. Step 2: Convert to fraction form
    919.52/1,377.12 = 593.36/x
  3. Step 3: Cross multiply
    919.52x = 1,377.12 × 593.36
  4. Step 4: Simplify right side
    919.52x = 817,127.92
  5. Step 5: Solve for x
    x = 817,127.92/919.52
  6. Step 6: Final answer
    x = 888.65

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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.