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Finding the Fourth Proportional to 853, 1,177.32 and 503.80

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Solution

The fourth proportional to 853, 1,177.32 and 503.80 is: 695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    853 : 1,177.32 = 503.80 : x
  2. Step 2: Convert to fraction form
    853/1,177.32 = 503.80/x
  3. Step 3: Cross multiply
    853x = 1,177.32 × 503.80
  4. Step 4: Simplify right side
    853x = 593,133.82
  5. Step 5: Solve for x
    x = 593,133.82/853
  6. Step 6: Final answer
    x = 695.35

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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.