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Finding the Fourth Proportional to 689.81, 950.56 and 571.46

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Solution

The fourth proportional to 689.81, 950.56 and 571.46 is: 787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.81 : 950.56 = 571.46 : x
  2. Step 2: Convert to fraction form
    689.81/950.56 = 571.46/x
  3. Step 3: Cross multiply
    689.81x = 950.56 × 571.46
  4. Step 4: Simplify right side
    689.81x = 543,200.84
  5. Step 5: Solve for x
    x = 543,200.84/689.81
  6. Step 6: Final answer
    x = 787.47

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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.