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Finding the Fourth Proportional to 1,464.92, 2,021.63 and 801.77

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Solution

The fourth proportional to 1,464.92, 2,021.63 and 801.77 is: 1,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.92 : 2,021.63 = 801.77 : x
  2. Step 2: Convert to fraction form
    1,464.92/2,021.63 = 801.77/x
  3. Step 3: Cross multiply
    1,464.92x = 2,021.63 × 801.77
  4. Step 4: Simplify right side
    1,464.92x = 1,620,868.17
  5. Step 5: Solve for x
    x = 1,620,868.17/1,464.92
  6. Step 6: Final answer
    x = 1,106.46

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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.