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Finding the Fourth Proportional to 689.42, 949.65 and 644.06

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Solution

The fourth proportional to 689.42, 949.65 and 644.06 is: 887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.42 : 949.65 = 644.06 : x
  2. Step 2: Convert to fraction form
    689.42/949.65 = 644.06/x
  3. Step 3: Cross multiply
    689.42x = 949.65 × 644.06
  4. Step 4: Simplify right side
    689.42x = 611,631.58
  5. Step 5: Solve for x
    x = 611,631.58/689.42
  6. Step 6: Final answer
    x = 887.17

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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.