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Finding the Fourth Proportional to 1,398.63, 2,096.33 and 666.53

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Solution

The fourth proportional to 1,398.63, 2,096.33 and 666.53 is: 999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.63 : 2,096.33 = 666.53 : x
  2. Step 2: Convert to fraction form
    1,398.63/2,096.33 = 666.53/x
  3. Step 3: Cross multiply
    1,398.63x = 2,096.33 × 666.53
  4. Step 4: Simplify right side
    1,398.63x = 1,397,253.02
  5. Step 5: Solve for x
    x = 1,397,253.02/1,398.63
  6. Step 6: Final answer
    x = 999.02

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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.