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Finding the Fourth Proportional to 1,192.33, 1,788.93 and 534.15

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Solution

The fourth proportional to 1,192.33, 1,788.93 and 534.15 is: 801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.33 : 1,788.93 = 534.15 : x
  2. Step 2: Convert to fraction form
    1,192.33/1,788.93 = 534.15/x
  3. Step 3: Cross multiply
    1,192.33x = 1,788.93 × 534.15
  4. Step 4: Simplify right side
    1,192.33x = 955,554.29
  5. Step 5: Solve for x
    x = 955,554.29/1,192.33
  6. Step 6: Final answer
    x = 801.42

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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.