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Finding the Fourth Proportional to 1,506.24, 2,258.64 and 532.26

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Solution

The fourth proportional to 1,506.24, 2,258.64 and 532.26 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.24 : 2,258.64 = 532.26 : x
  2. Step 2: Convert to fraction form
    1,506.24/2,258.64 = 532.26/x
  3. Step 3: Cross multiply
    1,506.24x = 2,258.64 × 532.26
  4. Step 4: Simplify right side
    1,506.24x = 1,202,183.73
  5. Step 5: Solve for x
    x = 1,202,183.73/1,506.24
  6. Step 6: Final answer
    x = 798.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.