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Finding the Fourth Proportional to 1,598.60, 2,206.06 and 899.97

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Solution

The fourth proportional to 1,598.60, 2,206.06 and 899.97 is: 1,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.60 : 2,206.06 = 899.97 : x
  2. Step 2: Convert to fraction form
    1,598.60/2,206.06 = 899.97/x
  3. Step 3: Cross multiply
    1,598.60x = 2,206.06 × 899.97
  4. Step 4: Simplify right side
    1,598.60x = 1,985,387.82
  5. Step 5: Solve for x
    x = 1,985,387.82/1,598.60
  6. Step 6: Final answer
    x = 1,241.95

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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.