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Finding the Fourth Proportional to 920.61, 1,382.00 and 373.19

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Solution

The fourth proportional to 920.61, 1,382.00 and 373.19 is: 560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.61 : 1,382.00 = 373.19 : x
  2. Step 2: Convert to fraction form
    920.61/1,382.00 = 373.19/x
  3. Step 3: Cross multiply
    920.61x = 1,382.00 × 373.19
  4. Step 4: Simplify right side
    920.61x = 515,739.80
  5. Step 5: Solve for x
    x = 515,739.80/920.61
  6. Step 6: Final answer
    x = 560.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.