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Finding the Fourth Proportional to 1,201.84, 1,658.85 and 1,077.28

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Solution

The fourth proportional to 1,201.84, 1,658.85 and 1,077.28 is: 1,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.84 : 1,658.85 = 1,077.28 : x
  2. Step 2: Convert to fraction form
    1,201.84/1,658.85 = 1,077.28/x
  3. Step 3: Cross multiply
    1,201.84x = 1,658.85 × 1,077.28
  4. Step 4: Simplify right side
    1,201.84x = 1,787,045.93
  5. Step 5: Solve for x
    x = 1,787,045.93/1,201.84
  6. Step 6: Final answer
    x = 1,486.92

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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.