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Finding the Fourth Proportional to 975.41, 1,463.33 and 564.65

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Solution

The fourth proportional to 975.41, 1,463.33 and 564.65 is: 847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.41 : 1,463.33 = 564.65 : x
  2. Step 2: Convert to fraction form
    975.41/1,463.33 = 564.65/x
  3. Step 3: Cross multiply
    975.41x = 1,463.33 × 564.65
  4. Step 4: Simplify right side
    975.41x = 826,269.28
  5. Step 5: Solve for x
    x = 826,269.28/975.41
  6. Step 6: Final answer
    x = 847.10

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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.