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Finding the Fourth Proportional to 689.81, 953.30 and 565.26

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Solution

The fourth proportional to 689.81, 953.30 and 565.26 is: 781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.81 : 953.30 = 565.26 : x
  2. Step 2: Convert to fraction form
    689.81/953.30 = 565.26/x
  3. Step 3: Cross multiply
    689.81x = 953.30 × 565.26
  4. Step 4: Simplify right side
    689.81x = 538,859.53
  5. Step 5: Solve for x
    x = 538,859.53/689.81
  6. Step 6: Final answer
    x = 781.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.