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Finding the Fourth Proportional to 1,664.06, 2,496.63 and 690.98

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Solution

The fourth proportional to 1,664.06, 2,496.63 and 690.98 is: 1,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.06 : 2,496.63 = 690.98 : x
  2. Step 2: Convert to fraction form
    1,664.06/2,496.63 = 690.98/x
  3. Step 3: Cross multiply
    1,664.06x = 2,496.63 × 690.98
  4. Step 4: Simplify right side
    1,664.06x = 1,725,121.40
  5. Step 5: Solve for x
    x = 1,725,121.40/1,664.06
  6. Step 6: Final answer
    x = 1,036.69

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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.