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Finding the Fourth Proportional to 1,598.92, 2,206.44 and 890.74

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Solution

The fourth proportional to 1,598.92, 2,206.44 and 890.74 is: 1,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.92 : 2,206.44 = 890.74 : x
  2. Step 2: Convert to fraction form
    1,598.92/2,206.44 = 890.74/x
  3. Step 3: Cross multiply
    1,598.92x = 2,206.44 × 890.74
  4. Step 4: Simplify right side
    1,598.92x = 1,965,364.37
  5. Step 5: Solve for x
    x = 1,965,364.37/1,598.92
  6. Step 6: Final answer
    x = 1,229.18

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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.