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Finding the Fourth Proportional to 1,164.26, 1,746.39 and 342.53

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Solution

The fourth proportional to 1,164.26, 1,746.39 and 342.53 is: 513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.26 : 1,746.39 = 342.53 : x
  2. Step 2: Convert to fraction form
    1,164.26/1,746.39 = 342.53/x
  3. Step 3: Cross multiply
    1,164.26x = 1,746.39 × 342.53
  4. Step 4: Simplify right side
    1,164.26x = 598,190.97
  5. Step 5: Solve for x
    x = 598,190.97/1,164.26
  6. Step 6: Final answer
    x = 513.80

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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.