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Finding the Fourth Proportional to 1,322.23, 1,824.74 and 732.77

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Solution

The fourth proportional to 1,322.23, 1,824.74 and 732.77 is: 1,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.23 : 1,824.74 = 732.77 : x
  2. Step 2: Convert to fraction form
    1,322.23/1,824.74 = 732.77/x
  3. Step 3: Cross multiply
    1,322.23x = 1,824.74 × 732.77
  4. Step 4: Simplify right side
    1,322.23x = 1,337,101.94
  5. Step 5: Solve for x
    x = 1,337,101.94/1,322.23
  6. Step 6: Final answer
    x = 1,011.25

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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.