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Finding the Fourth Proportional to 1,563.01, 2,341.81 and 821.51

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Solution

The fourth proportional to 1,563.01, 2,341.81 and 821.51 is: 1,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.01 : 2,341.81 = 821.51 : x
  2. Step 2: Convert to fraction form
    1,563.01/2,341.81 = 821.51/x
  3. Step 3: Cross multiply
    1,563.01x = 2,341.81 × 821.51
  4. Step 4: Simplify right side
    1,563.01x = 1,923,826.98
  5. Step 5: Solve for x
    x = 1,923,826.98/1,563.01
  6. Step 6: Final answer
    x = 1,230.85

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1.5x scale

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.