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Finding the Fourth Proportional to 920.03, 1,269.66 and 500.41

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Solution

The fourth proportional to 920.03, 1,269.66 and 500.41 is: 690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.03 : 1,269.66 = 500.41 : x
  2. Step 2: Convert to fraction form
    920.03/1,269.66 = 500.41/x
  3. Step 3: Cross multiply
    920.03x = 1,269.66 × 500.41
  4. Step 4: Simplify right side
    920.03x = 635,341.71
  5. Step 5: Solve for x
    x = 635,341.71/920.03
  6. Step 6: Final answer
    x = 690.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.