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Finding the Fourth Proportional to 1,510.44, 2,265.72 and 471.14

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Solution

The fourth proportional to 1,510.44, 2,265.72 and 471.14 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.44 : 2,265.72 = 471.14 : x
  2. Step 2: Convert to fraction form
    1,510.44/2,265.72 = 471.14/x
  3. Step 3: Cross multiply
    1,510.44x = 2,265.72 × 471.14
  4. Step 4: Simplify right side
    1,510.44x = 1,067,471.32
  5. Step 5: Solve for x
    x = 1,067,471.32/1,510.44
  6. Step 6: Final answer
    x = 706.73

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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.