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Finding the Fourth Proportional to 1,010.73, 1,516.53 and 547.95

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Solution

The fourth proportional to 1,010.73, 1,516.53 and 547.95 is: 822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.73 : 1,516.53 = 547.95 : x
  2. Step 2: Convert to fraction form
    1,010.73/1,516.53 = 547.95/x
  3. Step 3: Cross multiply
    1,010.73x = 1,516.53 × 547.95
  4. Step 4: Simplify right side
    1,010.73x = 830,982.61
  5. Step 5: Solve for x
    x = 830,982.61/1,010.73
  6. Step 6: Final answer
    x = 822.16

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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.