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Finding the Fourth Proportional to 1,010.16, 1,513.80 and 576.42

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Solution

The fourth proportional to 1,010.16, 1,513.80 and 576.42 is: 863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.16 : 1,513.80 = 576.42 : x
  2. Step 2: Convert to fraction form
    1,010.16/1,513.80 = 576.42/x
  3. Step 3: Cross multiply
    1,010.16x = 1,513.80 × 576.42
  4. Step 4: Simplify right side
    1,010.16x = 872,584.60
  5. Step 5: Solve for x
    x = 872,584.60/1,010.16
  6. Step 6: Final answer
    x = 863.81

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Why These Related Problems?

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