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Finding the Fourth Proportional to 1,001.06, 1,503.76 and 847.30

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Solution

The fourth proportional to 1,001.06, 1,503.76 and 847.30 is: 1,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.06 : 1,503.76 = 847.30 : x
  2. Step 2: Convert to fraction form
    1,001.06/1,503.76 = 847.30/x
  3. Step 3: Cross multiply
    1,001.06x = 1,503.76 × 847.30
  4. Step 4: Simplify right side
    1,001.06x = 1,274,128.33
  5. Step 5: Solve for x
    x = 1,274,128.33/1,001.06
  6. Step 6: Final answer
    x = 1,272.78

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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.