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Finding the Fourth Proportional to 1,094.76, 1,509.78 and 721.62

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Solution

The fourth proportional to 1,094.76, 1,509.78 and 721.62 is: 995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.76 : 1,509.78 = 721.62 : x
  2. Step 2: Convert to fraction form
    1,094.76/1,509.78 = 721.62/x
  3. Step 3: Cross multiply
    1,094.76x = 1,509.78 × 721.62
  4. Step 4: Simplify right side
    1,094.76x = 1,089,487.44
  5. Step 5: Solve for x
    x = 1,089,487.44/1,094.76
  6. Step 6: Final answer
    x = 995.18

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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.