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Finding the Fourth Proportional to 798.76, 1,102.80 and 651.74

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Solution

The fourth proportional to 798.76, 1,102.80 and 651.74 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.76 : 1,102.80 = 651.74 : x
  2. Step 2: Convert to fraction form
    798.76/1,102.80 = 651.74/x
  3. Step 3: Cross multiply
    798.76x = 1,102.80 × 651.74
  4. Step 4: Simplify right side
    798.76x = 718,738.87
  5. Step 5: Solve for x
    x = 718,738.87/798.76
  6. Step 6: Final answer
    x = 899.82

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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.