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Finding the Fourth Proportional to 1,478.54, 2,218.29 and 438.55

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Solution

The fourth proportional to 1,478.54, 2,218.29 and 438.55 is: 657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.54 : 2,218.29 = 438.55 : x
  2. Step 2: Convert to fraction form
    1,478.54/2,218.29 = 438.55/x
  3. Step 3: Cross multiply
    1,478.54x = 2,218.29 × 438.55
  4. Step 4: Simplify right side
    1,478.54x = 972,828.89
  5. Step 5: Solve for x
    x = 972,828.89/1,478.54
  6. Step 6: Final answer
    x = 657.97

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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.