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Finding the Fourth Proportional to 1,151.07, 1,725.24 and 946.05

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Solution

The fourth proportional to 1,151.07, 1,725.24 and 946.05 is: 1,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.07 : 1,725.24 = 946.05 : x
  2. Step 2: Convert to fraction form
    1,151.07/1,725.24 = 946.05/x
  3. Step 3: Cross multiply
    1,151.07x = 1,725.24 × 946.05
  4. Step 4: Simplify right side
    1,151.07x = 1,632,163.30
  5. Step 5: Solve for x
    x = 1,632,163.30/1,151.07
  6. Step 6: Final answer
    x = 1,417.95

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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.