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Finding the Fourth Proportional to 987, 1,362.06 and 594.02

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Solution

The fourth proportional to 987, 1,362.06 and 594.02 is: 819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    987 : 1,362.06 = 594.02 : x
  2. Step 2: Convert to fraction form
    987/1,362.06 = 594.02/x
  3. Step 3: Cross multiply
    987x = 1,362.06 × 594.02
  4. Step 4: Simplify right side
    987x = 809,084.07
  5. Step 5: Solve for x
    x = 809,084.07/987
  6. Step 6: Final answer
    x = 819.74

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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.