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Finding the Fourth Proportional to 1,142.72, 1,705.72 and 981.44

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Solution

The fourth proportional to 1,142.72, 1,705.72 and 981.44 is: 1,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.72 : 1,705.72 = 981.44 : x
  2. Step 2: Convert to fraction form
    1,142.72/1,705.72 = 981.44/x
  3. Step 3: Cross multiply
    1,142.72x = 1,705.72 × 981.44
  4. Step 4: Simplify right side
    1,142.72x = 1,674,061.84
  5. Step 5: Solve for x
    x = 1,674,061.84/1,142.72
  6. Step 6: Final answer
    x = 1,464.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.