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Finding the Fourth Proportional to 1,244.84, 1,867.55 and 464.85

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Solution

The fourth proportional to 1,244.84, 1,867.55 and 464.85 is: 697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.84 : 1,867.55 = 464.85 : x
  2. Step 2: Convert to fraction form
    1,244.84/1,867.55 = 464.85/x
  3. Step 3: Cross multiply
    1,244.84x = 1,867.55 × 464.85
  4. Step 4: Simplify right side
    1,244.84x = 868,128.29
  5. Step 5: Solve for x
    x = 868,128.29/1,244.84
  6. Step 6: Final answer
    x = 697.38

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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.