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Finding the Fourth Proportional to 992.48, 1,492.09 and 811.19

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Solution

The fourth proportional to 992.48, 1,492.09 and 811.19 is: 1,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.48 : 1,492.09 = 811.19 : x
  2. Step 2: Convert to fraction form
    992.48/1,492.09 = 811.19/x
  3. Step 3: Cross multiply
    992.48x = 1,492.09 × 811.19
  4. Step 4: Simplify right side
    992.48x = 1,210,359.00
  5. Step 5: Solve for x
    x = 1,210,359.00/992.48
  6. Step 6: Final answer
    x = 1,219.54

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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.