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Finding the Fourth Proportional to 989.14, 1,482.49 and 526.90

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Solution

The fourth proportional to 989.14, 1,482.49 and 526.90 is: 789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.14 : 1,482.49 = 526.90 : x
  2. Step 2: Convert to fraction form
    989.14/1,482.49 = 526.90/x
  3. Step 3: Cross multiply
    989.14x = 1,482.49 × 526.90
  4. Step 4: Simplify right side
    989.14x = 781,123.98
  5. Step 5: Solve for x
    x = 781,123.98/989.14
  6. Step 6: Final answer
    x = 789.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.