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Finding the Fourth Proportional to 1,498.15, 2,247.55 and 458.23

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Solution

The fourth proportional to 1,498.15, 2,247.55 and 458.23 is: 687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.15 : 2,247.55 = 458.23 : x
  2. Step 2: Convert to fraction form
    1,498.15/2,247.55 = 458.23/x
  3. Step 3: Cross multiply
    1,498.15x = 2,247.55 × 458.23
  4. Step 4: Simplify right side
    1,498.15x = 1,029,888.07
  5. Step 5: Solve for x
    x = 1,029,888.07/1,498.15
  6. Step 6: Final answer
    x = 687.44

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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.