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Finding the Fourth Proportional to 1,282.14, 1,768.40 and 784.38

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Solution

The fourth proportional to 1,282.14, 1,768.40 and 784.38 is: 1,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.14 : 1,768.40 = 784.38 : x
  2. Step 2: Convert to fraction form
    1,282.14/1,768.40 = 784.38/x
  3. Step 3: Cross multiply
    1,282.14x = 1,768.40 × 784.38
  4. Step 4: Simplify right side
    1,282.14x = 1,387,097.59
  5. Step 5: Solve for x
    x = 1,387,097.59/1,282.14
  6. Step 6: Final answer
    x = 1,081.86

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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.