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Finding the Fourth Proportional to 872.94, 1,204.08 and 686.16

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Solution

The fourth proportional to 872.94, 1,204.08 and 686.16 is: 946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.94 : 1,204.08 = 686.16 : x
  2. Step 2: Convert to fraction form
    872.94/1,204.08 = 686.16/x
  3. Step 3: Cross multiply
    872.94x = 1,204.08 × 686.16
  4. Step 4: Simplify right side
    872.94x = 826,191.53
  5. Step 5: Solve for x
    x = 826,191.53/872.94
  6. Step 6: Final answer
    x = 946.45

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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.