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Finding the Fourth Proportional to 1,197.52, 1,653.28 and 784.24

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Solution

The fourth proportional to 1,197.52, 1,653.28 and 784.24 is: 1,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.52 : 1,653.28 = 784.24 : x
  2. Step 2: Convert to fraction form
    1,197.52/1,653.28 = 784.24/x
  3. Step 3: Cross multiply
    1,197.52x = 1,653.28 × 784.24
  4. Step 4: Simplify right side
    1,197.52x = 1,296,568.31
  5. Step 5: Solve for x
    x = 1,296,568.31/1,197.52
  6. Step 6: Final answer
    x = 1,082.71

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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.