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Finding the Fourth Proportional to 1,354.85, 1,869.75 and 823.66

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Solution

The fourth proportional to 1,354.85, 1,869.75 and 823.66 is: 1,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.85 : 1,869.75 = 823.66 : x
  2. Step 2: Convert to fraction form
    1,354.85/1,869.75 = 823.66/x
  3. Step 3: Cross multiply
    1,354.85x = 1,869.75 × 823.66
  4. Step 4: Simplify right side
    1,354.85x = 1,540,038.29
  5. Step 5: Solve for x
    x = 1,540,038.29/1,354.85
  6. Step 6: Final answer
    x = 1,136.69

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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.