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Finding the Fourth Proportional to 1,020.66, 1,531.05 and 533.10

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Solution

The fourth proportional to 1,020.66, 1,531.05 and 533.10 is: 799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.66 : 1,531.05 = 533.10 : x
  2. Step 2: Convert to fraction form
    1,020.66/1,531.05 = 533.10/x
  3. Step 3: Cross multiply
    1,020.66x = 1,531.05 × 533.10
  4. Step 4: Simplify right side
    1,020.66x = 816,202.76
  5. Step 5: Solve for x
    x = 816,202.76/1,020.66
  6. Step 6: Final answer
    x = 799.68

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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.