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Finding the Fourth Proportional to 1,471.06, 2,207.18 and 648.76

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Solution

The fourth proportional to 1,471.06, 2,207.18 and 648.76 is: 973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.06 : 2,207.18 = 648.76 : x
  2. Step 2: Convert to fraction form
    1,471.06/2,207.18 = 648.76/x
  3. Step 3: Cross multiply
    1,471.06x = 2,207.18 × 648.76
  4. Step 4: Simplify right side
    1,471.06x = 1,431,930.10
  5. Step 5: Solve for x
    x = 1,431,930.10/1,471.06
  6. Step 6: Final answer
    x = 973.40

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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.