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Finding the Fourth Proportional to 853, 1,177.14 and 558.76

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Solution

The fourth proportional to 853, 1,177.14 and 558.76 is: 771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    853 : 1,177.14 = 558.76 : x
  2. Step 2: Convert to fraction form
    853/1,177.14 = 558.76/x
  3. Step 3: Cross multiply
    853x = 1,177.14 × 558.76
  4. Step 4: Simplify right side
    853x = 657,738.75
  5. Step 5: Solve for x
    x = 657,738.75/853
  6. Step 6: Final answer
    x = 771.09

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Double scale
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Similar ratio
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1.5x scale

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.