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Finding the Fourth Proportional to 798.54, 1,102.26 and 536.88

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Solution

The fourth proportional to 798.54, 1,102.26 and 536.88 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,102.26 = 536.88 : x
  2. Step 2: Convert to fraction form
    798.54/1,102.26 = 536.88/x
  3. Step 3: Cross multiply
    798.54x = 1,102.26 × 536.88
  4. Step 4: Simplify right side
    798.54x = 591,781.35
  5. Step 5: Solve for x
    x = 591,781.35/798.54
  6. Step 6: Final answer
    x = 741.08

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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.