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Finding the Fourth Proportional to 1,346.92, 1,858.62 and 823.48

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Solution

The fourth proportional to 1,346.92, 1,858.62 and 823.48 is: 1,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.92 : 1,858.62 = 823.48 : x
  2. Step 2: Convert to fraction form
    1,346.92/1,858.62 = 823.48/x
  3. Step 3: Cross multiply
    1,346.92x = 1,858.62 × 823.48
  4. Step 4: Simplify right side
    1,346.92x = 1,530,536.40
  5. Step 5: Solve for x
    x = 1,530,536.40/1,346.92
  6. Step 6: Final answer
    x = 1,136.32

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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.