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Finding the Fourth Proportional to 1,243.17, 1,864.53 and 462.99

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Solution

The fourth proportional to 1,243.17, 1,864.53 and 462.99 is: 694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.17 : 1,864.53 = 462.99 : x
  2. Step 2: Convert to fraction form
    1,243.17/1,864.53 = 462.99/x
  3. Step 3: Cross multiply
    1,243.17x = 1,864.53 × 462.99
  4. Step 4: Simplify right side
    1,243.17x = 863,265.74
  5. Step 5: Solve for x
    x = 863,265.74/1,243.17
  6. Step 6: Final answer
    x = 694.41

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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.