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Finding the Fourth Proportional to 1,383.74, 1,909.15 and 823.93

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Solution

The fourth proportional to 1,383.74, 1,909.15 and 823.93 is: 1,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.74 : 1,909.15 = 823.93 : x
  2. Step 2: Convert to fraction form
    1,383.74/1,909.15 = 823.93/x
  3. Step 3: Cross multiply
    1,383.74x = 1,909.15 × 823.93
  4. Step 4: Simplify right side
    1,383.74x = 1,572,992.29
  5. Step 5: Solve for x
    x = 1,572,992.29/1,383.74
  6. Step 6: Final answer
    x = 1,136.77

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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.