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Finding the Fourth Proportional to 1,506.17, 2,258.04 and 641.09

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Solution

The fourth proportional to 1,506.17, 2,258.04 and 641.09 is: 961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.17 : 2,258.04 = 641.09 : x
  2. Step 2: Convert to fraction form
    1,506.17/2,258.04 = 641.09/x
  3. Step 3: Cross multiply
    1,506.17x = 2,258.04 × 641.09
  4. Step 4: Simplify right side
    1,506.17x = 1,447,606.86
  5. Step 5: Solve for x
    x = 1,447,606.86/1,506.17
  6. Step 6: Final answer
    x = 961.12

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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.