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Finding the Fourth Proportional to 1,398.99, 2,098.23 and 411.60

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Solution

The fourth proportional to 1,398.99, 2,098.23 and 411.60 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.99 : 2,098.23 = 411.60 : x
  2. Step 2: Convert to fraction form
    1,398.99/2,098.23 = 411.60/x
  3. Step 3: Cross multiply
    1,398.99x = 2,098.23 × 411.60
  4. Step 4: Simplify right side
    1,398.99x = 863,631.47
  5. Step 5: Solve for x
    x = 863,631.47/1,398.99
  6. Step 6: Final answer
    x = 617.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.