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Finding the Fourth Proportional to 1,182.29, 1,631.60 and 651.23

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Solution

The fourth proportional to 1,182.29, 1,631.60 and 651.23 is: 898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.29 : 1,631.60 = 651.23 : x
  2. Step 2: Convert to fraction form
    1,182.29/1,631.60 = 651.23/x
  3. Step 3: Cross multiply
    1,182.29x = 1,631.60 × 651.23
  4. Step 4: Simplify right side
    1,182.29x = 1,062,535.45
  5. Step 5: Solve for x
    x = 1,062,535.45/1,182.29
  6. Step 6: Final answer
    x = 898.71

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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.