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Finding the Fourth Proportional to 1,562.96, 2,156.91 and 864.29

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Solution

The fourth proportional to 1,562.96, 2,156.91 and 864.29 is: 1,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.96 : 2,156.91 = 864.29 : x
  2. Step 2: Convert to fraction form
    1,562.96/2,156.91 = 864.29/x
  3. Step 3: Cross multiply
    1,562.96x = 2,156.91 × 864.29
  4. Step 4: Simplify right side
    1,562.96x = 1,864,195.74
  5. Step 5: Solve for x
    x = 1,864,195.74/1,562.96
  6. Step 6: Final answer
    x = 1,192.73

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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.