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Finding the Fourth Proportional to 1,498.90, 2,248.34 and 403.17

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Solution

The fourth proportional to 1,498.90, 2,248.34 and 403.17 is: 604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.90 : 2,248.34 = 403.17 : x
  2. Step 2: Convert to fraction form
    1,498.90/2,248.34 = 403.17/x
  3. Step 3: Cross multiply
    1,498.90x = 2,248.34 × 403.17
  4. Step 4: Simplify right side
    1,498.90x = 906,463.24
  5. Step 5: Solve for x
    x = 906,463.24/1,498.90
  6. Step 6: Final answer
    x = 604.75

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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.