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Finding the Fourth Proportional to 763.29, 1,144.66 and 373.05

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Solution

The fourth proportional to 763.29, 1,144.66 and 373.05 is: 559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.29 : 1,144.66 = 373.05 : x
  2. Step 2: Convert to fraction form
    763.29/1,144.66 = 373.05/x
  3. Step 3: Cross multiply
    763.29x = 1,144.66 × 373.05
  4. Step 4: Simplify right side
    763.29x = 427,013.55
  5. Step 5: Solve for x
    x = 427,013.55/763.29
  6. Step 6: Final answer
    x = 559.44

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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.