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Finding the Fourth Proportional to 1,488.16, 2,232.47 and 514.54

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Solution

The fourth proportional to 1,488.16, 2,232.47 and 514.54 is: 771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.16 : 2,232.47 = 514.54 : x
  2. Step 2: Convert to fraction form
    1,488.16/2,232.47 = 514.54/x
  3. Step 3: Cross multiply
    1,488.16x = 2,232.47 × 514.54
  4. Step 4: Simplify right side
    1,488.16x = 1,148,695.11
  5. Step 5: Solve for x
    x = 1,148,695.11/1,488.16
  6. Step 6: Final answer
    x = 771.89

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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.