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Finding the Fourth Proportional to 853.28, 1,177.44 and 503.90

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Solution

The fourth proportional to 853.28, 1,177.44 and 503.90 is: 695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.28 : 1,177.44 = 503.90 : x
  2. Step 2: Convert to fraction form
    853.28/1,177.44 = 503.90/x
  3. Step 3: Cross multiply
    853.28x = 1,177.44 × 503.90
  4. Step 4: Simplify right side
    853.28x = 593,312.02
  5. Step 5: Solve for x
    x = 593,312.02/853.28
  6. Step 6: Final answer
    x = 695.33

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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.