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Finding the Fourth Proportional to 1,015.20, 1,525.10 and 876.81

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Solution

The fourth proportional to 1,015.20, 1,525.10 and 876.81 is: 1,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.20 : 1,525.10 = 876.81 : x
  2. Step 2: Convert to fraction form
    1,015.20/1,525.10 = 876.81/x
  3. Step 3: Cross multiply
    1,015.20x = 1,525.10 × 876.81
  4. Step 4: Simplify right side
    1,015.20x = 1,337,222.93
  5. Step 5: Solve for x
    x = 1,337,222.93/1,015.20
  6. Step 6: Final answer
    x = 1,317.20

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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.