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Finding the Fourth Proportional to 1,590.77, 2,194.88 and 927.24

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Solution

The fourth proportional to 1,590.77, 2,194.88 and 927.24 is: 1,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.77 : 2,194.88 = 927.24 : x
  2. Step 2: Convert to fraction form
    1,590.77/2,194.88 = 927.24/x
  3. Step 3: Cross multiply
    1,590.77x = 2,194.88 × 927.24
  4. Step 4: Simplify right side
    1,590.77x = 2,035,175.90
  5. Step 5: Solve for x
    x = 2,035,175.90/1,590.77
  6. Step 6: Final answer
    x = 1,279.37

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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.