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Finding the Fourth Proportional to 872.68, 1,204.24 and 569.34

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Solution

The fourth proportional to 872.68, 1,204.24 and 569.34 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.68 : 1,204.24 = 569.34 : x
  2. Step 2: Convert to fraction form
    872.68/1,204.24 = 569.34/x
  3. Step 3: Cross multiply
    872.68x = 1,204.24 × 569.34
  4. Step 4: Simplify right side
    872.68x = 685,622.00
  5. Step 5: Solve for x
    x = 685,622.00/872.68
  6. Step 6: Final answer
    x = 785.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.