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Finding the Fourth Proportional to 818.82, 1,129.86 and 464.72

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Solution

The fourth proportional to 818.82, 1,129.86 and 464.72 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.82 : 1,129.86 = 464.72 : x
  2. Step 2: Convert to fraction form
    818.82/1,129.86 = 464.72/x
  3. Step 3: Cross multiply
    818.82x = 1,129.86 × 464.72
  4. Step 4: Simplify right side
    818.82x = 525,068.54
  5. Step 5: Solve for x
    x = 525,068.54/818.82
  6. Step 6: Final answer
    x = 641.25

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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.