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Finding the Fourth Proportional to 1,604.55, 2,407.07 and 564.37

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Solution

The fourth proportional to 1,604.55, 2,407.07 and 564.37 is: 846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.55 : 2,407.07 = 564.37 : x
  2. Step 2: Convert to fraction form
    1,604.55/2,407.07 = 564.37/x
  3. Step 3: Cross multiply
    1,604.55x = 2,407.07 × 564.37
  4. Step 4: Simplify right side
    1,604.55x = 1,358,470.31
  5. Step 5: Solve for x
    x = 1,358,470.31/1,604.55
  6. Step 6: Final answer
    x = 846.64

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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.