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Finding the Fourth Proportional to 901.83, 1,352.85 and 415.02

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Solution

The fourth proportional to 901.83, 1,352.85 and 415.02 is: 622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.83 : 1,352.85 = 415.02 : x
  2. Step 2: Convert to fraction form
    901.83/1,352.85 = 415.02/x
  3. Step 3: Cross multiply
    901.83x = 1,352.85 × 415.02
  4. Step 4: Simplify right side
    901.83x = 561,459.81
  5. Step 5: Solve for x
    x = 561,459.81/901.83
  6. Step 6: Final answer
    x = 622.58

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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.