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Finding the Fourth Proportional to 1,498.94, 2,248.71 and 511.67

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Solution

The fourth proportional to 1,498.94, 2,248.71 and 511.67 is: 767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.94 : 2,248.71 = 511.67 : x
  2. Step 2: Convert to fraction form
    1,498.94/2,248.71 = 511.67/x
  3. Step 3: Cross multiply
    1,498.94x = 2,248.71 × 511.67
  4. Step 4: Simplify right side
    1,498.94x = 1,150,591.38
  5. Step 5: Solve for x
    x = 1,150,591.38/1,498.94
  6. Step 6: Final answer
    x = 767.60

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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.