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Finding the Fourth Proportional to 1,478.67, 2,218.25 and 438.77

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Solution

The fourth proportional to 1,478.67, 2,218.25 and 438.77 is: 658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.67 : 2,218.25 = 438.77 : x
  2. Step 2: Convert to fraction form
    1,478.67/2,218.25 = 438.77/x
  3. Step 3: Cross multiply
    1,478.67x = 2,218.25 × 438.77
  4. Step 4: Simplify right side
    1,478.67x = 973,301.55
  5. Step 5: Solve for x
    x = 973,301.55/1,478.67
  6. Step 6: Final answer
    x = 658.23

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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.