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Finding the Fourth Proportional to 1,598.17, 2,205.39 and 899.50

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Solution

The fourth proportional to 1,598.17, 2,205.39 and 899.50 is: 1,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.17 : 2,205.39 = 899.50 : x
  2. Step 2: Convert to fraction form
    1,598.17/2,205.39 = 899.50/x
  3. Step 3: Cross multiply
    1,598.17x = 2,205.39 × 899.50
  4. Step 4: Simplify right side
    1,598.17x = 1,983,748.31
  5. Step 5: Solve for x
    x = 1,983,748.31/1,598.17
  6. Step 6: Final answer
    x = 1,241.26

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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.