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Finding the Fourth Proportional to 986.93, 1,362.03 and 567.41

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Solution

The fourth proportional to 986.93, 1,362.03 and 567.41 is: 783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.93 : 1,362.03 = 567.41 : x
  2. Step 2: Convert to fraction form
    986.93/1,362.03 = 567.41/x
  3. Step 3: Cross multiply
    986.93x = 1,362.03 × 567.41
  4. Step 4: Simplify right side
    986.93x = 772,822.63
  5. Step 5: Solve for x
    x = 772,822.63/986.93
  6. Step 6: Final answer
    x = 783.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.