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Finding the Fourth Proportional to 853.13, 1,177.11 and 503.75

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Solution

The fourth proportional to 853.13, 1,177.11 and 503.75 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.13 : 1,177.11 = 503.75 : x
  2. Step 2: Convert to fraction form
    853.13/1,177.11 = 503.75/x
  3. Step 3: Cross multiply
    853.13x = 1,177.11 × 503.75
  4. Step 4: Simplify right side
    853.13x = 592,969.16
  5. Step 5: Solve for x
    x = 592,969.16/853.13
  6. Step 6: Final answer
    x = 695.05

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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.