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Finding the Fourth Proportional to 1,145.24, 1,718.68 and 857.44

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Solution

The fourth proportional to 1,145.24, 1,718.68 and 857.44 is: 1,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.24 : 1,718.68 = 857.44 : x
  2. Step 2: Convert to fraction form
    1,145.24/1,718.68 = 857.44/x
  3. Step 3: Cross multiply
    1,145.24x = 1,718.68 × 857.44
  4. Step 4: Simplify right side
    1,145.24x = 1,473,664.98
  5. Step 5: Solve for x
    x = 1,473,664.98/1,145.24
  6. Step 6: Final answer
    x = 1,286.77

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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.