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Finding the Fourth Proportional to 986.96, 1,362.13 and 567.38

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Solution

The fourth proportional to 986.96, 1,362.13 and 567.38 is: 783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.96 : 1,362.13 = 567.38 : x
  2. Step 2: Convert to fraction form
    986.96/1,362.13 = 567.38/x
  3. Step 3: Cross multiply
    986.96x = 1,362.13 × 567.38
  4. Step 4: Simplify right side
    986.96x = 772,845.32
  5. Step 5: Solve for x
    x = 772,845.32/986.96
  6. Step 6: Final answer
    x = 783.06

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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.