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Finding the Fourth Proportional to 1,506.52, 2,258.34 and 641.32

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Solution

The fourth proportional to 1,506.52, 2,258.34 and 641.32 is: 961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.52 : 2,258.34 = 641.32 : x
  2. Step 2: Convert to fraction form
    1,506.52/2,258.34 = 641.32/x
  3. Step 3: Cross multiply
    1,506.52x = 2,258.34 × 641.32
  4. Step 4: Simplify right side
    1,506.52x = 1,448,318.61
  5. Step 5: Solve for x
    x = 1,448,318.61/1,506.52
  6. Step 6: Final answer
    x = 961.37

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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.