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Finding the Fourth Proportional to 1,478.50, 2,217.75 and 554.27

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Solution

The fourth proportional to 1,478.50, 2,217.75 and 554.27 is: 831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.50 : 2,217.75 = 554.27 : x
  2. Step 2: Convert to fraction form
    1,478.50/2,217.75 = 554.27/x
  3. Step 3: Cross multiply
    1,478.50x = 2,217.75 × 554.27
  4. Step 4: Simplify right side
    1,478.50x = 1,229,230.04
  5. Step 5: Solve for x
    x = 1,229,230.04/1,478.50
  6. Step 6: Final answer
    x = 831.40

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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.