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Finding the Fourth Proportional to 1,464.75, 2,197.13 and 438.75

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Solution

The fourth proportional to 1,464.75, 2,197.13 and 438.75 is: 658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.75 : 2,197.13 = 438.75 : x
  2. Step 2: Convert to fraction form
    1,464.75/2,197.13 = 438.75/x
  3. Step 3: Cross multiply
    1,464.75x = 2,197.13 × 438.75
  4. Step 4: Simplify right side
    1,464.75x = 963,988.59
  5. Step 5: Solve for x
    x = 963,988.59/1,464.75
  6. Step 6: Final answer
    x = 658.13

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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.