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Finding the Fourth Proportional to 1,464.60, 2,197.82 and 761.88

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Solution

The fourth proportional to 1,464.60, 2,197.82 and 761.88 is: 1,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.60 : 2,197.82 = 761.88 : x
  2. Step 2: Convert to fraction form
    1,464.60/2,197.82 = 761.88/x
  3. Step 3: Cross multiply
    1,464.60x = 2,197.82 × 761.88
  4. Step 4: Simplify right side
    1,464.60x = 1,674,475.10
  5. Step 5: Solve for x
    x = 1,674,475.10/1,464.60
  6. Step 6: Final answer
    x = 1,143.30

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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.