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Finding the Fourth Proportional to 1,532.33, 2,114.61 and 833.70

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Solution

The fourth proportional to 1,532.33, 2,114.61 and 833.70 is: 1,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.33 : 2,114.61 = 833.70 : x
  2. Step 2: Convert to fraction form
    1,532.33/2,114.61 = 833.70/x
  3. Step 3: Cross multiply
    1,532.33x = 2,114.61 × 833.70
  4. Step 4: Simplify right side
    1,532.33x = 1,762,950.36
  5. Step 5: Solve for x
    x = 1,762,950.36/1,532.33
  6. Step 6: Final answer
    x = 1,150.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.