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Finding the Fourth Proportional to 1,510.25, 2,265.64 and 523.19

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Solution

The fourth proportional to 1,510.25, 2,265.64 and 523.19 is: 784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.25 : 2,265.64 = 523.19 : x
  2. Step 2: Convert to fraction form
    1,510.25/2,265.64 = 523.19/x
  3. Step 3: Cross multiply
    1,510.25x = 2,265.64 × 523.19
  4. Step 4: Simplify right side
    1,510.25x = 1,185,364.55
  5. Step 5: Solve for x
    x = 1,185,364.55/1,510.25
  6. Step 6: Final answer
    x = 784.88

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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.