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Finding the Fourth Proportional to 1,153.38, 1,737.86 and 952.46

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Solution

The fourth proportional to 1,153.38, 1,737.86 and 952.46 is: 1,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.38 : 1,737.86 = 952.46 : x
  2. Step 2: Convert to fraction form
    1,153.38/1,737.86 = 952.46/x
  3. Step 3: Cross multiply
    1,153.38x = 1,737.86 × 952.46
  4. Step 4: Simplify right side
    1,153.38x = 1,655,228.68
  5. Step 5: Solve for x
    x = 1,655,228.68/1,153.38
  6. Step 6: Final answer
    x = 1,435.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.