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Finding the Fourth Proportional to 1,004.50, 1,506.20 and 565.57

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Solution

The fourth proportional to 1,004.50, 1,506.20 and 565.57 is: 848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.50 : 1,506.20 = 565.57 : x
  2. Step 2: Convert to fraction form
    1,004.50/1,506.20 = 565.57/x
  3. Step 3: Cross multiply
    1,004.50x = 1,506.20 × 565.57
  4. Step 4: Simplify right side
    1,004.50x = 851,861.53
  5. Step 5: Solve for x
    x = 851,861.53/1,004.50
  6. Step 6: Final answer
    x = 848.05

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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.