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Finding the Fourth Proportional to 1,202.39, 1,657.01 and 828.69

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Solution

The fourth proportional to 1,202.39, 1,657.01 and 828.69 is: 1,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.39 : 1,657.01 = 828.69 : x
  2. Step 2: Convert to fraction form
    1,202.39/1,657.01 = 828.69/x
  3. Step 3: Cross multiply
    1,202.39x = 1,657.01 × 828.69
  4. Step 4: Simplify right side
    1,202.39x = 1,373,143.47
  5. Step 5: Solve for x
    x = 1,373,143.47/1,202.39
  6. Step 6: Final answer
    x = 1,142.01

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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.