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Finding the Fourth Proportional to 1,464.55, 2,197.06 and 642.80

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Solution

The fourth proportional to 1,464.55, 2,197.06 and 642.80 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.55 : 2,197.06 = 642.80 : x
  2. Step 2: Convert to fraction form
    1,464.55/2,197.06 = 642.80/x
  3. Step 3: Cross multiply
    1,464.55x = 2,197.06 × 642.80
  4. Step 4: Simplify right side
    1,464.55x = 1,412,274.05
  5. Step 5: Solve for x
    x = 1,412,274.05/1,464.55
  6. Step 6: Final answer
    x = 964.31

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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.