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Finding the Fourth Proportional to 798.76, 1,101.54 and 688.36

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Solution

The fourth proportional to 798.76, 1,101.54 and 688.36 is: 949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.76 : 1,101.54 = 688.36 : x
  2. Step 2: Convert to fraction form
    798.76/1,101.54 = 688.36/x
  3. Step 3: Cross multiply
    798.76x = 1,101.54 × 688.36
  4. Step 4: Simplify right side
    798.76x = 758,256.07
  5. Step 5: Solve for x
    x = 758,256.07/798.76
  6. Step 6: Final answer
    x = 949.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.