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Finding the Fourth Proportional to 826.16, 1,237.55 and 461.14

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Solution

The fourth proportional to 826.16, 1,237.55 and 461.14 is: 690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.16 : 1,237.55 = 461.14 : x
  2. Step 2: Convert to fraction form
    826.16/1,237.55 = 461.14/x
  3. Step 3: Cross multiply
    826.16x = 1,237.55 × 461.14
  4. Step 4: Simplify right side
    826.16x = 570,678.41
  5. Step 5: Solve for x
    x = 570,678.41/826.16
  6. Step 6: Final answer
    x = 690.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.