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Finding the Fourth Proportional to 1,464.62, 2,021.19 and 801.46

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Solution

The fourth proportional to 1,464.62, 2,021.19 and 801.46 is: 1,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.62 : 2,021.19 = 801.46 : x
  2. Step 2: Convert to fraction form
    1,464.62/2,021.19 = 801.46/x
  3. Step 3: Cross multiply
    1,464.62x = 2,021.19 × 801.46
  4. Step 4: Simplify right side
    1,464.62x = 1,619,897.31
  5. Step 5: Solve for x
    x = 1,619,897.31/1,464.62
  6. Step 6: Final answer
    x = 1,106.02

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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.