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Finding the Fourth Proportional to 1,214.81, 1,675.49 and 742.77

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Solution

The fourth proportional to 1,214.81, 1,675.49 and 742.77 is: 1,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.81 : 1,675.49 = 742.77 : x
  2. Step 2: Convert to fraction form
    1,214.81/1,675.49 = 742.77/x
  3. Step 3: Cross multiply
    1,214.81x = 1,675.49 × 742.77
  4. Step 4: Simplify right side
    1,214.81x = 1,244,499.99
  5. Step 5: Solve for x
    x = 1,244,499.99/1,214.81
  6. Step 6: Final answer
    x = 1,024.44

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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.