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Finding the Fourth Proportional to 1,431.87, 1,975.44 and 842.19

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Solution

The fourth proportional to 1,431.87, 1,975.44 and 842.19 is: 1,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.87 : 1,975.44 = 842.19 : x
  2. Step 2: Convert to fraction form
    1,431.87/1,975.44 = 842.19/x
  3. Step 3: Cross multiply
    1,431.87x = 1,975.44 × 842.19
  4. Step 4: Simplify right side
    1,431.87x = 1,663,695.81
  5. Step 5: Solve for x
    x = 1,663,695.81/1,431.87
  6. Step 6: Final answer
    x = 1,161.90

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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.