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Finding the Fourth Proportional to 806.76, 1,112.94 and 526.88

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Solution

The fourth proportional to 806.76, 1,112.94 and 526.88 is: 726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.76 : 1,112.94 = 526.88 : x
  2. Step 2: Convert to fraction form
    806.76/1,112.94 = 526.88/x
  3. Step 3: Cross multiply
    806.76x = 1,112.94 × 526.88
  4. Step 4: Simplify right side
    806.76x = 586,385.48
  5. Step 5: Solve for x
    x = 586,385.48/806.76
  6. Step 6: Final answer
    x = 726.84

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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.