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Finding the Fourth Proportional to 987.67, 1,362.80 and 594.70

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Solution

The fourth proportional to 987.67, 1,362.80 and 594.70 is: 820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.67 : 1,362.80 = 594.70 : x
  2. Step 2: Convert to fraction form
    987.67/1,362.80 = 594.70/x
  3. Step 3: Cross multiply
    987.67x = 1,362.80 × 594.70
  4. Step 4: Simplify right side
    987.67x = 810,457.16
  5. Step 5: Solve for x
    x = 810,457.16/987.67
  6. Step 6: Final answer
    x = 820.57

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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.