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Finding the Fourth Proportional to 1,149.71, 1,724.63 and 328.11

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Solution

The fourth proportional to 1,149.71, 1,724.63 and 328.11 is: 492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.71 : 1,724.63 = 328.11 : x
  2. Step 2: Convert to fraction form
    1,149.71/1,724.63 = 328.11/x
  3. Step 3: Cross multiply
    1,149.71x = 1,724.63 × 328.11
  4. Step 4: Simplify right side
    1,149.71x = 565,866.01
  5. Step 5: Solve for x
    x = 565,866.01/1,149.71
  6. Step 6: Final answer
    x = 492.18

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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.