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Finding the Fourth Proportional to 1,010.58, 1,516.32 and 686.48

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Solution

The fourth proportional to 1,010.58, 1,516.32 and 686.48 is: 1,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.58 : 1,516.32 = 686.48 : x
  2. Step 2: Convert to fraction form
    1,010.58/1,516.32 = 686.48/x
  3. Step 3: Cross multiply
    1,010.58x = 1,516.32 × 686.48
  4. Step 4: Simplify right side
    1,010.58x = 1,040,923.35
  5. Step 5: Solve for x
    x = 1,040,923.35/1,010.58
  6. Step 6: Final answer
    x = 1,030.03

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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.