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Finding the Fourth Proportional to 872.12, 1,205.04 and 647.72

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Solution

The fourth proportional to 872.12, 1,205.04 and 647.72 is: 894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.12 : 1,205.04 = 647.72 : x
  2. Step 2: Convert to fraction form
    872.12/1,205.04 = 647.72/x
  3. Step 3: Cross multiply
    872.12x = 1,205.04 × 647.72
  4. Step 4: Simplify right side
    872.12x = 780,528.51
  5. Step 5: Solve for x
    x = 780,528.51/872.12
  6. Step 6: Final answer
    x = 894.98

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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.