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Finding the Fourth Proportional to 1,004.06, 1,506.06 and 565.25

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Solution

The fourth proportional to 1,004.06, 1,506.06 and 565.25 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.06 : 1,506.06 = 565.25 : x
  2. Step 2: Convert to fraction form
    1,004.06/1,506.06 = 565.25/x
  3. Step 3: Cross multiply
    1,004.06x = 1,506.06 × 565.25
  4. Step 4: Simplify right side
    1,004.06x = 851,292.88
  5. Step 5: Solve for x
    x = 851,292.88/1,004.06
  6. Step 6: Final answer
    x = 847.85

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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.