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Finding the Fourth Proportional to 1,310.93, 1,966.67 and 386.49

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Solution

The fourth proportional to 1,310.93, 1,966.67 and 386.49 is: 579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.93 : 1,966.67 = 386.49 : x
  2. Step 2: Convert to fraction form
    1,310.93/1,966.67 = 386.49/x
  3. Step 3: Cross multiply
    1,310.93x = 1,966.67 × 386.49
  4. Step 4: Simplify right side
    1,310.93x = 760,098.29
  5. Step 5: Solve for x
    x = 760,098.29/1,310.93
  6. Step 6: Final answer
    x = 579.82

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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.