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Finding the Fourth Proportional to 1,464.46, 2,020.98 and 801.34

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Solution

The fourth proportional to 1,464.46, 2,020.98 and 801.34 is: 1,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.46 : 2,020.98 = 801.34 : x
  2. Step 2: Convert to fraction form
    1,464.46/2,020.98 = 801.34/x
  3. Step 3: Cross multiply
    1,464.46x = 2,020.98 × 801.34
  4. Step 4: Simplify right side
    1,464.46x = 1,619,492.11
  5. Step 5: Solve for x
    x = 1,619,492.11/1,464.46
  6. Step 6: Final answer
    x = 1,105.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.