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Finding the Fourth Proportional to 1,864.80, 2,797.32 and 567.16

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Solution

The fourth proportional to 1,864.80, 2,797.32 and 567.16 is: 850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.80 : 2,797.32 = 567.16 : x
  2. Step 2: Convert to fraction form
    1,864.80/2,797.32 = 567.16/x
  3. Step 3: Cross multiply
    1,864.80x = 2,797.32 × 567.16
  4. Step 4: Simplify right side
    1,864.80x = 1,586,528.01
  5. Step 5: Solve for x
    x = 1,586,528.01/1,864.80
  6. Step 6: Final answer
    x = 850.78

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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.