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Finding the Fourth Proportional to 1,143.32, 1,578.59 and 701.36

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Solution

The fourth proportional to 1,143.32, 1,578.59 and 701.36 is: 968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.32 : 1,578.59 = 701.36 : x
  2. Step 2: Convert to fraction form
    1,143.32/1,578.59 = 701.36/x
  3. Step 3: Cross multiply
    1,143.32x = 1,578.59 × 701.36
  4. Step 4: Simplify right side
    1,143.32x = 1,107,157.03
  5. Step 5: Solve for x
    x = 1,107,157.03/1,143.32
  6. Step 6: Final answer
    x = 968.37

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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.