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Finding the Fourth Proportional to 669.84, 1,008.78 and 589.56

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Solution

The fourth proportional to 669.84, 1,008.78 and 589.56 is: 887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.84 : 1,008.78 = 589.56 : x
  2. Step 2: Convert to fraction form
    669.84/1,008.78 = 589.56/x
  3. Step 3: Cross multiply
    669.84x = 1,008.78 × 589.56
  4. Step 4: Simplify right side
    669.84x = 594,736.34
  5. Step 5: Solve for x
    x = 594,736.34/669.84
  6. Step 6: Final answer
    x = 887.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.