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Finding the Fourth Proportional to 1,215.38, 1,677.84 and 773.88

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Solution

The fourth proportional to 1,215.38, 1,677.84 and 773.88 is: 1,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.38 : 1,677.84 = 773.88 : x
  2. Step 2: Convert to fraction form
    1,215.38/1,677.84 = 773.88/x
  3. Step 3: Cross multiply
    1,215.38x = 1,677.84 × 773.88
  4. Step 4: Simplify right side
    1,215.38x = 1,298,444.52
  5. Step 5: Solve for x
    x = 1,298,444.52/1,215.38
  6. Step 6: Final answer
    x = 1,068.34

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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.