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Finding the Fourth Proportional to 1,664.88, 2,497.35 and 510.63

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Solution

The fourth proportional to 1,664.88, 2,497.35 and 510.63 is: 765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.88 : 2,497.35 = 510.63 : x
  2. Step 2: Convert to fraction form
    1,664.88/2,497.35 = 510.63/x
  3. Step 3: Cross multiply
    1,664.88x = 2,497.35 × 510.63
  4. Step 4: Simplify right side
    1,664.88x = 1,275,221.83
  5. Step 5: Solve for x
    x = 1,275,221.83/1,664.88
  6. Step 6: Final answer
    x = 765.95

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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.