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Finding the Fourth Proportional to 1,192.39, 1,789.08 and 643.93

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Solution

The fourth proportional to 1,192.39, 1,789.08 and 643.93 is: 966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.39 : 1,789.08 = 643.93 : x
  2. Step 2: Convert to fraction form
    1,192.39/1,789.08 = 643.93/x
  3. Step 3: Cross multiply
    1,192.39x = 1,789.08 × 643.93
  4. Step 4: Simplify right side
    1,192.39x = 1,152,037.01
  5. Step 5: Solve for x
    x = 1,152,037.01/1,192.39
  6. Step 6: Final answer
    x = 966.16

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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.