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Finding the Fourth Proportional to 853.77, 1,177.43 and 558.93

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Solution

The fourth proportional to 853.77, 1,177.43 and 558.93 is: 770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.77 : 1,177.43 = 558.93 : x
  2. Step 2: Convert to fraction form
    853.77/1,177.43 = 558.93/x
  3. Step 3: Cross multiply
    853.77x = 1,177.43 × 558.93
  4. Step 4: Simplify right side
    853.77x = 658,098.16
  5. Step 5: Solve for x
    x = 658,098.16/853.77
  6. Step 6: Final answer
    x = 770.81

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Double scale
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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.