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Finding the Fourth Proportional to 742.65, 1,024.92 and 448.16

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Solution

The fourth proportional to 742.65, 1,024.92 and 448.16 is: 618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.65 : 1,024.92 = 448.16 : x
  2. Step 2: Convert to fraction form
    742.65/1,024.92 = 448.16/x
  3. Step 3: Cross multiply
    742.65x = 1,024.92 × 448.16
  4. Step 4: Simplify right side
    742.65x = 459,323.02
  5. Step 5: Solve for x
    x = 459,323.02/742.65
  6. Step 6: Final answer
    x = 618.50

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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.