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Finding the Fourth Proportional to 975.21, 1,463.15 and 564.69

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Solution

The fourth proportional to 975.21, 1,463.15 and 564.69 is: 847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.21 : 1,463.15 = 564.69 : x
  2. Step 2: Convert to fraction form
    975.21/1,463.15 = 564.69/x
  3. Step 3: Cross multiply
    975.21x = 1,463.15 × 564.69
  4. Step 4: Simplify right side
    975.21x = 826,226.17
  5. Step 5: Solve for x
    x = 826,226.17/975.21
  6. Step 6: Final answer
    x = 847.23

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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.