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Finding the Fourth Proportional to 1,115.12, 1,538.82 and 643.01

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Solution

The fourth proportional to 1,115.12, 1,538.82 and 643.01 is: 887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.12 : 1,538.82 = 643.01 : x
  2. Step 2: Convert to fraction form
    1,115.12/1,538.82 = 643.01/x
  3. Step 3: Cross multiply
    1,115.12x = 1,538.82 × 643.01
  4. Step 4: Simplify right side
    1,115.12x = 989,468.95
  5. Step 5: Solve for x
    x = 989,468.95/1,115.12
  6. Step 6: Final answer
    x = 887.32

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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.