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Finding the Fourth Proportional to 1,488.13, 2,232.71 and 666.48

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Solution

The fourth proportional to 1,488.13, 2,232.71 and 666.48 is: 999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.13 : 2,232.71 = 666.48 : x
  2. Step 2: Convert to fraction form
    1,488.13/2,232.71 = 666.48/x
  3. Step 3: Cross multiply
    1,488.13x = 2,232.71 × 666.48
  4. Step 4: Simplify right side
    1,488.13x = 1,488,056.56
  5. Step 5: Solve for x
    x = 1,488,056.56/1,488.13
  6. Step 6: Final answer
    x = 999.95

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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.