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Finding the Fourth Proportional to 1,468.85, 2,203.27 and 373.23

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Solution

The fourth proportional to 1,468.85, 2,203.27 and 373.23 is: 559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.85 : 2,203.27 = 373.23 : x
  2. Step 2: Convert to fraction form
    1,468.85/2,203.27 = 373.23/x
  3. Step 3: Cross multiply
    1,468.85x = 2,203.27 × 373.23
  4. Step 4: Simplify right side
    1,468.85x = 822,326.46
  5. Step 5: Solve for x
    x = 822,326.46/1,468.85
  6. Step 6: Final answer
    x = 559.84

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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.