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Finding the Fourth Proportional to 1,311.69, 1,810.13 and 722.23

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Solution

The fourth proportional to 1,311.69, 1,810.13 and 722.23 is: 996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.69 : 1,810.13 = 722.23 : x
  2. Step 2: Convert to fraction form
    1,311.69/1,810.13 = 722.23/x
  3. Step 3: Cross multiply
    1,311.69x = 1,810.13 × 722.23
  4. Step 4: Simplify right side
    1,311.69x = 1,307,321.14
  5. Step 5: Solve for x
    x = 1,307,321.14/1,311.69
  6. Step 6: Final answer
    x = 996.67

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Half scale
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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.