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Finding the Fourth Proportional to 1,310.84, 1,965.35 and 488.66

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Solution

The fourth proportional to 1,310.84, 1,965.35 and 488.66 is: 732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.84 : 1,965.35 = 488.66 : x
  2. Step 2: Convert to fraction form
    1,310.84/1,965.35 = 488.66/x
  3. Step 3: Cross multiply
    1,310.84x = 1,965.35 × 488.66
  4. Step 4: Simplify right side
    1,310.84x = 960,387.93
  5. Step 5: Solve for x
    x = 960,387.93/1,310.84
  6. Step 6: Final answer
    x = 732.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.