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Finding the Fourth Proportional to 1,381.12, 2,068.40 and 649.04

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Solution

The fourth proportional to 1,381.12, 2,068.40 and 649.04 is: 972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.12 : 2,068.40 = 649.04 : x
  2. Step 2: Convert to fraction form
    1,381.12/2,068.40 = 649.04/x
  3. Step 3: Cross multiply
    1,381.12x = 2,068.40 × 649.04
  4. Step 4: Simplify right side
    1,381.12x = 1,342,474.34
  5. Step 5: Solve for x
    x = 1,342,474.34/1,381.12
  6. Step 6: Final answer
    x = 972.02

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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.