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Finding the Fourth Proportional to 1,192.01, 1,784.93 and 729.14

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Solution

The fourth proportional to 1,192.01, 1,784.93 and 729.14 is: 1,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.01 : 1,784.93 = 729.14 : x
  2. Step 2: Convert to fraction form
    1,192.01/1,784.93 = 729.14/x
  3. Step 3: Cross multiply
    1,192.01x = 1,784.93 × 729.14
  4. Step 4: Simplify right side
    1,192.01x = 1,301,451.29
  5. Step 5: Solve for x
    x = 1,301,451.29/1,192.01
  6. Step 6: Final answer
    x = 1,091.82

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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.