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Finding the Fourth Proportional to 1,464.83, 2,195.20 and 642.89

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Solution

The fourth proportional to 1,464.83, 2,195.20 and 642.89 is: 963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.83 : 2,195.20 = 642.89 : x
  2. Step 2: Convert to fraction form
    1,464.83/2,195.20 = 642.89/x
  3. Step 3: Cross multiply
    1,464.83x = 2,195.20 × 642.89
  4. Step 4: Simplify right side
    1,464.83x = 1,411,266.07
  5. Step 5: Solve for x
    x = 1,411,266.07/1,464.83
  6. Step 6: Final answer
    x = 963.43

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1.5x scale

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.