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Finding the Fourth Proportional to 1,478.09, 2,217.54 and 657.02

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Solution

The fourth proportional to 1,478.09, 2,217.54 and 657.02 is: 985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.09 : 2,217.54 = 657.02 : x
  2. Step 2: Convert to fraction form
    1,478.09/2,217.54 = 657.02/x
  3. Step 3: Cross multiply
    1,478.09x = 2,217.54 × 657.02
  4. Step 4: Simplify right side
    1,478.09x = 1,456,968.13
  5. Step 5: Solve for x
    x = 1,456,968.13/1,478.09
  6. Step 6: Final answer
    x = 985.71

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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.