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Finding the Fourth Proportional to 1,498.32, 2,247.66 and 511.30

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Solution

The fourth proportional to 1,498.32, 2,247.66 and 511.30 is: 767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.32 : 2,247.66 = 511.30 : x
  2. Step 2: Convert to fraction form
    1,498.32/2,247.66 = 511.30/x
  3. Step 3: Cross multiply
    1,498.32x = 2,247.66 × 511.30
  4. Step 4: Simplify right side
    1,498.32x = 1,149,228.56
  5. Step 5: Solve for x
    x = 1,149,228.56/1,498.32
  6. Step 6: Final answer
    x = 767.01

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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.