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Finding the Fourth Proportional to 1,497.64, 2,246.62 and 510.55

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Solution

The fourth proportional to 1,497.64, 2,246.62 and 510.55 is: 765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.64 : 2,246.62 = 510.55 : x
  2. Step 2: Convert to fraction form
    1,497.64/2,246.62 = 510.55/x
  3. Step 3: Cross multiply
    1,497.64x = 2,246.62 × 510.55
  4. Step 4: Simplify right side
    1,497.64x = 1,147,010.56
  5. Step 5: Solve for x
    x = 1,147,010.56/1,497.64
  6. Step 6: Final answer
    x = 765.88

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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.