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Finding the Fourth Proportional to 1,266.83, 1,748.51 and 823.96

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Solution

The fourth proportional to 1,266.83, 1,748.51 and 823.96 is: 1,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.83 : 1,748.51 = 823.96 : x
  2. Step 2: Convert to fraction form
    1,266.83/1,748.51 = 823.96/x
  3. Step 3: Cross multiply
    1,266.83x = 1,748.51 × 823.96
  4. Step 4: Simplify right side
    1,266.83x = 1,440,699.99
  5. Step 5: Solve for x
    x = 1,440,699.99/1,266.83
  6. Step 6: Final answer
    x = 1,137.25

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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.