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Finding the Fourth Proportional to 801.68, 1,106.88 and 626.72

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Solution

The fourth proportional to 801.68, 1,106.88 and 626.72 is: 865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.68 : 1,106.88 = 626.72 : x
  2. Step 2: Convert to fraction form
    801.68/1,106.88 = 626.72/x
  3. Step 3: Cross multiply
    801.68x = 1,106.88 × 626.72
  4. Step 4: Simplify right side
    801.68x = 693,703.83
  5. Step 5: Solve for x
    x = 693,703.83/801.68
  6. Step 6: Final answer
    x = 865.31

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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.