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Finding the Fourth Proportional to 920.65, 1,382.14 and 556.15

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Solution

The fourth proportional to 920.65, 1,382.14 and 556.15 is: 834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.65 : 1,382.14 = 556.15 : x
  2. Step 2: Convert to fraction form
    920.65/1,382.14 = 556.15/x
  3. Step 3: Cross multiply
    920.65x = 1,382.14 × 556.15
  4. Step 4: Simplify right side
    920.65x = 768,674.40
  5. Step 5: Solve for x
    x = 768,674.40/920.65
  6. Step 6: Final answer
    x = 834.93

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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.