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Finding the Fourth Proportional to 1,246.25, 1,719.81 and 686.74

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Solution

The fourth proportional to 1,246.25, 1,719.81 and 686.74 is: 947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.25 : 1,719.81 = 686.74 : x
  2. Step 2: Convert to fraction form
    1,246.25/1,719.81 = 686.74/x
  3. Step 3: Cross multiply
    1,246.25x = 1,719.81 × 686.74
  4. Step 4: Simplify right side
    1,246.25x = 1,181,066.08
  5. Step 5: Solve for x
    x = 1,181,066.08/1,246.25
  6. Step 6: Final answer
    x = 947.70

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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.