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Finding the Fourth Proportional to 975.92, 1,464.08 and 565.16

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Solution

The fourth proportional to 975.92, 1,464.08 and 565.16 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.92 : 1,464.08 = 565.16 : x
  2. Step 2: Convert to fraction form
    975.92/1,464.08 = 565.16/x
  3. Step 3: Cross multiply
    975.92x = 1,464.08 × 565.16
  4. Step 4: Simplify right side
    975.92x = 827,429.31
  5. Step 5: Solve for x
    x = 827,429.31/975.92
  6. Step 6: Final answer
    x = 847.85

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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.