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Finding the Fourth Proportional to 920.91, 1,381.77 and 374.16

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Solution

The fourth proportional to 920.91, 1,381.77 and 374.16 is: 561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.91 : 1,381.77 = 374.16 : x
  2. Step 2: Convert to fraction form
    920.91/1,381.77 = 374.16/x
  3. Step 3: Cross multiply
    920.91x = 1,381.77 × 374.16
  4. Step 4: Simplify right side
    920.91x = 517,003.06
  5. Step 5: Solve for x
    x = 517,003.06/920.91
  6. Step 6: Final answer
    x = 561.40

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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.