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Finding the Fourth Proportional to 1,510.44, 2,264.67 and 730.23

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Solution

The fourth proportional to 1,510.44, 2,264.67 and 730.23 is: 1,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.44 : 2,264.67 = 730.23 : x
  2. Step 2: Convert to fraction form
    1,510.44/2,264.67 = 730.23/x
  3. Step 3: Cross multiply
    1,510.44x = 2,264.67 × 730.23
  4. Step 4: Simplify right side
    1,510.44x = 1,653,729.97
  5. Step 5: Solve for x
    x = 1,653,729.97/1,510.44
  6. Step 6: Final answer
    x = 1,094.87

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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.