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Finding the Fourth Proportional to 1,151.44, 1,587.49 and 993.49

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Solution

The fourth proportional to 1,151.44, 1,587.49 and 993.49 is: 1,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.44 : 1,587.49 = 993.49 : x
  2. Step 2: Convert to fraction form
    1,151.44/1,587.49 = 993.49/x
  3. Step 3: Cross multiply
    1,151.44x = 1,587.49 × 993.49
  4. Step 4: Simplify right side
    1,151.44x = 1,577,155.44
  5. Step 5: Solve for x
    x = 1,577,155.44/1,151.44
  6. Step 6: Final answer
    x = 1,369.72

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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.