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Finding the Fourth Proportional to 1,010.93, 1,516.68 and 361.71

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Solution

The fourth proportional to 1,010.93, 1,516.68 and 361.71 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.93 : 1,516.68 = 361.71 : x
  2. Step 2: Convert to fraction form
    1,010.93/1,516.68 = 361.71/x
  3. Step 3: Cross multiply
    1,010.93x = 1,516.68 × 361.71
  4. Step 4: Simplify right side
    1,010.93x = 548,598.32
  5. Step 5: Solve for x
    x = 548,598.32/1,010.93
  6. Step 6: Final answer
    x = 542.67

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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.