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Finding the Fourth Proportional to 1,604.52, 2,406.51 and 565.29

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Solution

The fourth proportional to 1,604.52, 2,406.51 and 565.29 is: 847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.52 : 2,406.51 = 565.29 : x
  2. Step 2: Convert to fraction form
    1,604.52/2,406.51 = 565.29/x
  3. Step 3: Cross multiply
    1,604.52x = 2,406.51 × 565.29
  4. Step 4: Simplify right side
    1,604.52x = 1,360,376.04
  5. Step 5: Solve for x
    x = 1,360,376.04/1,604.52
  6. Step 6: Final answer
    x = 847.84

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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.