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Finding the Fourth Proportional to 1,197.84, 1,653.80 and 824.72

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Solution

The fourth proportional to 1,197.84, 1,653.80 and 824.72 is: 1,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.84 : 1,653.80 = 824.72 : x
  2. Step 2: Convert to fraction form
    1,197.84/1,653.80 = 824.72/x
  3. Step 3: Cross multiply
    1,197.84x = 1,653.80 × 824.72
  4. Step 4: Simplify right side
    1,197.84x = 1,363,921.94
  5. Step 5: Solve for x
    x = 1,363,921.94/1,197.84
  6. Step 6: Final answer
    x = 1,138.65

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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.