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Finding the Fourth Proportional to 1,167.63, 1,611.35 and 643.65

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Solution

The fourth proportional to 1,167.63, 1,611.35 and 643.65 is: 888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.63 : 1,611.35 = 643.65 : x
  2. Step 2: Convert to fraction form
    1,167.63/1,611.35 = 643.65/x
  3. Step 3: Cross multiply
    1,167.63x = 1,611.35 × 643.65
  4. Step 4: Simplify right side
    1,167.63x = 1,037,145.43
  5. Step 5: Solve for x
    x = 1,037,145.43/1,167.63
  6. Step 6: Final answer
    x = 888.25

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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.