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Finding the Fourth Proportional to 1,150.68, 1,726.02 and 534.21

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Solution

The fourth proportional to 1,150.68, 1,726.02 and 534.21 is: 801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.68 : 1,726.02 = 534.21 : x
  2. Step 2: Convert to fraction form
    1,150.68/1,726.02 = 534.21/x
  3. Step 3: Cross multiply
    1,150.68x = 1,726.02 × 534.21
  4. Step 4: Simplify right side
    1,150.68x = 922,057.14
  5. Step 5: Solve for x
    x = 922,057.14/1,150.68
  6. Step 6: Final answer
    x = 801.32

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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.