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Finding the Fourth Proportional to 689.78, 950.34 and 565.46

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Solution

The fourth proportional to 689.78, 950.34 and 565.46 is: 779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.78 : 950.34 = 565.46 : x
  2. Step 2: Convert to fraction form
    689.78/950.34 = 565.46/x
  3. Step 3: Cross multiply
    689.78x = 950.34 × 565.46
  4. Step 4: Simplify right side
    689.78x = 537,379.26
  5. Step 5: Solve for x
    x = 537,379.26/689.78
  6. Step 6: Final answer
    x = 779.06

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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.