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Finding the Fourth Proportional to 1,156.32, 1,603.91 and 1,116.97

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Solution

The fourth proportional to 1,156.32, 1,603.91 and 1,116.97 is: 1,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.32 : 1,603.91 = 1,116.97 : x
  2. Step 2: Convert to fraction form
    1,156.32/1,603.91 = 1,116.97/x
  3. Step 3: Cross multiply
    1,156.32x = 1,603.91 × 1,116.97
  4. Step 4: Simplify right side
    1,156.32x = 1,791,518.14
  5. Step 5: Solve for x
    x = 1,791,518.14/1,156.32
  6. Step 6: Final answer
    x = 1,549.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.