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Finding the Fourth Proportional to 943.58, 1,415.39 and 899.84

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Solution

The fourth proportional to 943.58, 1,415.39 and 899.84 is: 1,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.58 : 1,415.39 = 899.84 : x
  2. Step 2: Convert to fraction form
    943.58/1,415.39 = 899.84/x
  3. Step 3: Cross multiply
    943.58x = 1,415.39 × 899.84
  4. Step 4: Simplify right side
    943.58x = 1,273,612.96
  5. Step 5: Solve for x
    x = 1,273,612.96/943.58
  6. Step 6: Final answer
    x = 1,349.77

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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.