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Finding the Fourth Proportional to 1,005.22, 1,506.42 and 484.90

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Solution

The fourth proportional to 1,005.22, 1,506.42 and 484.90 is: 726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.22 : 1,506.42 = 484.90 : x
  2. Step 2: Convert to fraction form
    1,005.22/1,506.42 = 484.90/x
  3. Step 3: Cross multiply
    1,005.22x = 1,506.42 × 484.90
  4. Step 4: Simplify right side
    1,005.22x = 730,463.06
  5. Step 5: Solve for x
    x = 730,463.06/1,005.22
  6. Step 6: Final answer
    x = 726.67

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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.