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Finding the Fourth Proportional to 1,643.07, 2,464.22 and 765.02

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Solution

The fourth proportional to 1,643.07, 2,464.22 and 765.02 is: 1,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.07 : 2,464.22 = 765.02 : x
  2. Step 2: Convert to fraction form
    1,643.07/2,464.22 = 765.02/x
  3. Step 3: Cross multiply
    1,643.07x = 2,464.22 × 765.02
  4. Step 4: Simplify right side
    1,643.07x = 1,885,184.10
  5. Step 5: Solve for x
    x = 1,885,184.10/1,643.07
  6. Step 6: Final answer
    x = 1,147.36

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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.