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Finding the Fourth Proportional to 1,151.32, 1,725.79 and 534.52

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Solution

The fourth proportional to 1,151.32, 1,725.79 and 534.52 is: 801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.32 : 1,725.79 = 534.52 : x
  2. Step 2: Convert to fraction form
    1,151.32/1,725.79 = 534.52/x
  3. Step 3: Cross multiply
    1,151.32x = 1,725.79 × 534.52
  4. Step 4: Simplify right side
    1,151.32x = 922,471.09
  5. Step 5: Solve for x
    x = 922,471.09/1,151.32
  6. Step 6: Final answer
    x = 801.23

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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.