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Finding the Fourth Proportional to 1,478.25, 2,217.65 and 657.23

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Solution

The fourth proportional to 1,478.25, 2,217.65 and 657.23 is: 985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.25 : 2,217.65 = 657.23 : x
  2. Step 2: Convert to fraction form
    1,478.25/2,217.65 = 657.23/x
  3. Step 3: Cross multiply
    1,478.25x = 2,217.65 × 657.23
  4. Step 4: Simplify right side
    1,478.25x = 1,457,491.74
  5. Step 5: Solve for x
    x = 1,457,491.74/1,478.25
  6. Step 6: Final answer
    x = 985.96

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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.