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Finding the Fourth Proportional to 1,253.60, 1,880.25 and 329.24

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Solution

The fourth proportional to 1,253.60, 1,880.25 and 329.24 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.60 : 1,880.25 = 329.24 : x
  2. Step 2: Convert to fraction form
    1,253.60/1,880.25 = 329.24/x
  3. Step 3: Cross multiply
    1,253.60x = 1,880.25 × 329.24
  4. Step 4: Simplify right side
    1,253.60x = 619,051.69
  5. Step 5: Solve for x
    x = 619,051.69/1,253.60
  6. Step 6: Final answer
    x = 493.82

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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.