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Finding the Fourth Proportional to 1,510.21, 2,265.69 and 523.22

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Solution

The fourth proportional to 1,510.21, 2,265.69 and 523.22 is: 784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.21 : 2,265.69 = 523.22 : x
  2. Step 2: Convert to fraction form
    1,510.21/2,265.69 = 523.22/x
  3. Step 3: Cross multiply
    1,510.21x = 2,265.69 × 523.22
  4. Step 4: Simplify right side
    1,510.21x = 1,185,454.32
  5. Step 5: Solve for x
    x = 1,185,454.32/1,510.21
  6. Step 6: Final answer
    x = 784.96

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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.