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Finding the Fourth Proportional to 1,245.93, 1,868.27 and 726.09

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Solution

The fourth proportional to 1,245.93, 1,868.27 and 726.09 is: 1,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.93 : 1,868.27 = 726.09 : x
  2. Step 2: Convert to fraction form
    1,245.93/1,868.27 = 726.09/x
  3. Step 3: Cross multiply
    1,245.93x = 1,868.27 × 726.09
  4. Step 4: Simplify right side
    1,245.93x = 1,356,528.53
  5. Step 5: Solve for x
    x = 1,356,528.53/1,245.93
  6. Step 6: Final answer
    x = 1,088.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.