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Finding the Fourth Proportional to 988.60, 1,482.67 and 682.42

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Solution

The fourth proportional to 988.60, 1,482.67 and 682.42 is: 1,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.60 : 1,482.67 = 682.42 : x
  2. Step 2: Convert to fraction form
    988.60/1,482.67 = 682.42/x
  3. Step 3: Cross multiply
    988.60x = 1,482.67 × 682.42
  4. Step 4: Simplify right side
    988.60x = 1,011,798.25
  5. Step 5: Solve for x
    x = 1,011,798.25/988.60
  6. Step 6: Final answer
    x = 1,023.47

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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.