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Finding the Fourth Proportional to 1,664.80, 2,498.64 and 690.88

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Solution

The fourth proportional to 1,664.80, 2,498.64 and 690.88 is: 1,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.80 : 2,498.64 = 690.88 : x
  2. Step 2: Convert to fraction form
    1,664.80/2,498.64 = 690.88/x
  3. Step 3: Cross multiply
    1,664.80x = 2,498.64 × 690.88
  4. Step 4: Simplify right side
    1,664.80x = 1,726,260.40
  5. Step 5: Solve for x
    x = 1,726,260.40/1,664.80
  6. Step 6: Final answer
    x = 1,036.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.