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Finding the Fourth Proportional to 803.28, 1,202.72 and 584.16

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Solution

The fourth proportional to 803.28, 1,202.72 and 584.16 is: 874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.28 : 1,202.72 = 584.16 : x
  2. Step 2: Convert to fraction form
    803.28/1,202.72 = 584.16/x
  3. Step 3: Cross multiply
    803.28x = 1,202.72 × 584.16
  4. Step 4: Simplify right side
    803.28x = 702,580.92
  5. Step 5: Solve for x
    x = 702,580.92/803.28
  6. Step 6: Final answer
    x = 874.64

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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.