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Finding the Fourth Proportional to 1,151.71, 1,727.58 and 286.02

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Solution

The fourth proportional to 1,151.71, 1,727.58 and 286.02 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.71 : 1,727.58 = 286.02 : x
  2. Step 2: Convert to fraction form
    1,151.71/1,727.58 = 286.02/x
  3. Step 3: Cross multiply
    1,151.71x = 1,727.58 × 286.02
  4. Step 4: Simplify right side
    1,151.71x = 494,122.43
  5. Step 5: Solve for x
    x = 494,122.43/1,151.71
  6. Step 6: Final answer
    x = 429.04

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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.