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Finding the Fourth Proportional to 1,498.26, 2,247.60 and 524.24

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Solution

The fourth proportional to 1,498.26, 2,247.60 and 524.24 is: 786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.26 : 2,247.60 = 524.24 : x
  2. Step 2: Convert to fraction form
    1,498.26/2,247.60 = 524.24/x
  3. Step 3: Cross multiply
    1,498.26x = 2,247.60 × 524.24
  4. Step 4: Simplify right side
    1,498.26x = 1,178,281.82
  5. Step 5: Solve for x
    x = 1,178,281.82/1,498.26
  6. Step 6: Final answer
    x = 786.43

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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.