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Finding the Fourth Proportional to 1,203.22, 1,803.26 and 617.72

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Solution

The fourth proportional to 1,203.22, 1,803.26 and 617.72 is: 925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.22 : 1,803.26 = 617.72 : x
  2. Step 2: Convert to fraction form
    1,203.22/1,803.26 = 617.72/x
  3. Step 3: Cross multiply
    1,203.22x = 1,803.26 × 617.72
  4. Step 4: Simplify right side
    1,203.22x = 1,113,909.77
  5. Step 5: Solve for x
    x = 1,113,909.77/1,203.22
  6. Step 6: Final answer
    x = 925.77

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