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Finding the Fourth Proportional to 1,285.29, 1,772.97 and 886.91

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Solution

The fourth proportional to 1,285.29, 1,772.97 and 886.91 is: 1,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.29 : 1,772.97 = 886.91 : x
  2. Step 2: Convert to fraction form
    1,285.29/1,772.97 = 886.91/x
  3. Step 3: Cross multiply
    1,285.29x = 1,772.97 × 886.91
  4. Step 4: Simplify right side
    1,285.29x = 1,572,455.96
  5. Step 5: Solve for x
    x = 1,572,455.96/1,285.29
  6. Step 6: Final answer
    x = 1,223.43

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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.