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Finding the Fourth Proportional to 1,464.81, 2,021.34 and 801.65

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Solution

The fourth proportional to 1,464.81, 2,021.34 and 801.65 is: 1,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.81 : 2,021.34 = 801.65 : x
  2. Step 2: Convert to fraction form
    1,464.81/2,021.34 = 801.65/x
  3. Step 3: Cross multiply
    1,464.81x = 2,021.34 × 801.65
  4. Step 4: Simplify right side
    1,464.81x = 1,620,397.10
  5. Step 5: Solve for x
    x = 1,620,397.10/1,464.81
  6. Step 6: Final answer
    x = 1,106.22

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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.