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Finding the Fourth Proportional to 1,478.34, 2,217.84 and 438.42

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Solution

The fourth proportional to 1,478.34, 2,217.84 and 438.42 is: 657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.34 : 2,217.84 = 438.42 : x
  2. Step 2: Convert to fraction form
    1,478.34/2,217.84 = 438.42/x
  3. Step 3: Cross multiply
    1,478.34x = 2,217.84 × 438.42
  4. Step 4: Simplify right side
    1,478.34x = 972,345.41
  5. Step 5: Solve for x
    x = 972,345.41/1,478.34
  6. Step 6: Final answer
    x = 657.73

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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.