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Finding the Fourth Proportional to 1,186.14, 1,637.38 and 744.30

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Solution

The fourth proportional to 1,186.14, 1,637.38 and 744.30 is: 1,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.14 : 1,637.38 = 744.30 : x
  2. Step 2: Convert to fraction form
    1,186.14/1,637.38 = 744.30/x
  3. Step 3: Cross multiply
    1,186.14x = 1,637.38 × 744.30
  4. Step 4: Simplify right side
    1,186.14x = 1,218,702.86
  5. Step 5: Solve for x
    x = 1,218,702.86/1,186.14
  6. Step 6: Final answer
    x = 1,027.45

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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.