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Finding the Fourth Proportional to 857.65, 1,288.23 and 565.57

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Solution

The fourth proportional to 857.65, 1,288.23 and 565.57 is: 849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.65 : 1,288.23 = 565.57 : x
  2. Step 2: Convert to fraction form
    857.65/1,288.23 = 565.57/x
  3. Step 3: Cross multiply
    857.65x = 1,288.23 × 565.57
  4. Step 4: Simplify right side
    857.65x = 728,581.02
  5. Step 5: Solve for x
    x = 728,581.02/857.65
  6. Step 6: Final answer
    x = 849.51

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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.