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Finding the Fourth Proportional to 992.29, 1,368.53 and 832.14

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Solution

The fourth proportional to 992.29, 1,368.53 and 832.14 is: 1,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.29 : 1,368.53 = 832.14 : x
  2. Step 2: Convert to fraction form
    992.29/1,368.53 = 832.14/x
  3. Step 3: Cross multiply
    992.29x = 1,368.53 × 832.14
  4. Step 4: Simplify right side
    992.29x = 1,138,808.65
  5. Step 5: Solve for x
    x = 1,138,808.65/992.29
  6. Step 6: Final answer
    x = 1,147.65

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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.