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Finding the Fourth Proportional to 1,333.48, 1,997.18 and 920.74

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Solution

The fourth proportional to 1,333.48, 1,997.18 and 920.74 is: 1,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.48 : 1,997.18 = 920.74 : x
  2. Step 2: Convert to fraction form
    1,333.48/1,997.18 = 920.74/x
  3. Step 3: Cross multiply
    1,333.48x = 1,997.18 × 920.74
  4. Step 4: Simplify right side
    1,333.48x = 1,838,883.51
  5. Step 5: Solve for x
    x = 1,838,883.51/1,333.48
  6. Step 6: Final answer
    x = 1,379.01

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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.