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Finding the Fourth Proportional to 723.67, 1,085.51 and 175.86

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Solution

The fourth proportional to 723.67, 1,085.51 and 175.86 is: 263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.67 : 1,085.51 = 175.86 : x
  2. Step 2: Convert to fraction form
    723.67/1,085.51 = 175.86/x
  3. Step 3: Cross multiply
    723.67x = 1,085.51 × 175.86
  4. Step 4: Simplify right side
    723.67x = 190,898.23
  5. Step 5: Solve for x
    x = 190,898.23/723.67
  6. Step 6: Final answer
    x = 263.79

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.