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Finding the Fourth Proportional to 987.22, 1,362.54 and 594.46

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Solution

The fourth proportional to 987.22, 1,362.54 and 594.46 is: 820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.22 : 1,362.54 = 594.46 : x
  2. Step 2: Convert to fraction form
    987.22/1,362.54 = 594.46/x
  3. Step 3: Cross multiply
    987.22x = 1,362.54 × 594.46
  4. Step 4: Simplify right side
    987.22x = 809,975.53
  5. Step 5: Solve for x
    x = 809,975.53/987.22
  6. Step 6: Final answer
    x = 820.46

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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.