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Finding the Fourth Proportional to 798.07, 1,101.43 and 448.75

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Solution

The fourth proportional to 798.07, 1,101.43 and 448.75 is: 619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.07 : 1,101.43 = 448.75 : x
  2. Step 2: Convert to fraction form
    798.07/1,101.43 = 448.75/x
  3. Step 3: Cross multiply
    798.07x = 1,101.43 × 448.75
  4. Step 4: Simplify right side
    798.07x = 494,264.47
  5. Step 5: Solve for x
    x = 494,264.47/798.07
  6. Step 6: Final answer
    x = 619.32

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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.