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Finding the Fourth Proportional to 1,286.48, 1,773.84 and 972.08

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Solution

The fourth proportional to 1,286.48, 1,773.84 and 972.08 is: 1,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.48 : 1,773.84 = 972.08 : x
  2. Step 2: Convert to fraction form
    1,286.48/1,773.84 = 972.08/x
  3. Step 3: Cross multiply
    1,286.48x = 1,773.84 × 972.08
  4. Step 4: Simplify right side
    1,286.48x = 1,724,314.39
  5. Step 5: Solve for x
    x = 1,724,314.39/1,286.48
  6. Step 6: Final answer
    x = 1,340.34

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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.