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Finding the Fourth Proportional to 1,644.64, 2,466.98 and 474.66

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Solution

The fourth proportional to 1,644.64, 2,466.98 and 474.66 is: 712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.64 : 2,466.98 = 474.66 : x
  2. Step 2: Convert to fraction form
    1,644.64/2,466.98 = 474.66/x
  3. Step 3: Cross multiply
    1,644.64x = 2,466.98 × 474.66
  4. Step 4: Simplify right side
    1,644.64x = 1,170,981.71
  5. Step 5: Solve for x
    x = 1,170,981.71/1,644.64
  6. Step 6: Final answer
    x = 712.00

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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.