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Finding the Fourth Proportional to 1,596.83, 2,203.54 and 898.25

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Solution

The fourth proportional to 1,596.83, 2,203.54 and 898.25 is: 1,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.83 : 2,203.54 = 898.25 : x
  2. Step 2: Convert to fraction form
    1,596.83/2,203.54 = 898.25/x
  3. Step 3: Cross multiply
    1,596.83x = 2,203.54 × 898.25
  4. Step 4: Simplify right side
    1,596.83x = 1,979,316.54
  5. Step 5: Solve for x
    x = 1,979,316.54/1,596.83
  6. Step 6: Final answer
    x = 1,239.53

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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.