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Finding the Fourth Proportional to 991.27, 1,368.01 and 566.02

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Solution

The fourth proportional to 991.27, 1,368.01 and 566.02 is: 781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.27 : 1,368.01 = 566.02 : x
  2. Step 2: Convert to fraction form
    991.27/1,368.01 = 566.02/x
  3. Step 3: Cross multiply
    991.27x = 1,368.01 × 566.02
  4. Step 4: Simplify right side
    991.27x = 774,323.13
  5. Step 5: Solve for x
    x = 774,323.13/991.27
  6. Step 6: Final answer
    x = 781.14

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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.