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Finding the Fourth Proportional to 1,071.97, 1,603.63 and 927.28

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Solution

The fourth proportional to 1,071.97, 1,603.63 and 927.28 is: 1,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.97 : 1,603.63 = 927.28 : x
  2. Step 2: Convert to fraction form
    1,071.97/1,603.63 = 927.28/x
  3. Step 3: Cross multiply
    1,071.97x = 1,603.63 × 927.28
  4. Step 4: Simplify right side
    1,071.97x = 1,487,017.19
  5. Step 5: Solve for x
    x = 1,487,017.19/1,071.97
  6. Step 6: Final answer
    x = 1,387.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.