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Finding the Fourth Proportional to 742.91, 1,024.65 and 448.07

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Solution

The fourth proportional to 742.91, 1,024.65 and 448.07 is: 617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.91 : 1,024.65 = 448.07 : x
  2. Step 2: Convert to fraction form
    742.91/1,024.65 = 448.07/x
  3. Step 3: Cross multiply
    742.91x = 1,024.65 × 448.07
  4. Step 4: Simplify right side
    742.91x = 459,109.80
  5. Step 5: Solve for x
    x = 459,109.80/742.91
  6. Step 6: Final answer
    x = 617.99

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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.