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Finding the Fourth Proportional to 1,215.39, 1,677.81 and 795.76

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Solution

The fourth proportional to 1,215.39, 1,677.81 and 795.76 is: 1,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.39 : 1,677.81 = 795.76 : x
  2. Step 2: Convert to fraction form
    1,215.39/1,677.81 = 795.76/x
  3. Step 3: Cross multiply
    1,215.39x = 1,677.81 × 795.76
  4. Step 4: Simplify right side
    1,215.39x = 1,335,134.09
  5. Step 5: Solve for x
    x = 1,335,134.09/1,215.39
  6. Step 6: Final answer
    x = 1,098.52

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1.5x scale

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.