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Finding the Fourth Proportional to 1,115.54, 1,538.96 and 643.32

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Solution

The fourth proportional to 1,115.54, 1,538.96 and 643.32 is: 887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.54 : 1,538.96 = 643.32 : x
  2. Step 2: Convert to fraction form
    1,115.54/1,538.96 = 643.32/x
  3. Step 3: Cross multiply
    1,115.54x = 1,538.96 × 643.32
  4. Step 4: Simplify right side
    1,115.54x = 990,043.75
  5. Step 5: Solve for x
    x = 990,043.75/1,115.54
  6. Step 6: Final answer
    x = 887.50

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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.