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Finding the Fourth Proportional to 813.12, 1,121.78 and 533.02

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Solution

The fourth proportional to 813.12, 1,121.78 and 533.02 is: 735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.12 : 1,121.78 = 533.02 : x
  2. Step 2: Convert to fraction form
    813.12/1,121.78 = 533.02/x
  3. Step 3: Cross multiply
    813.12x = 1,121.78 × 533.02
  4. Step 4: Simplify right side
    813.12x = 597,931.18
  5. Step 5: Solve for x
    x = 597,931.18/813.12
  6. Step 6: Final answer
    x = 735.35

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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.