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Finding the Fourth Proportional to 1,350, 2,023.38 and 569.76

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Solution

The fourth proportional to 1,350, 2,023.38 and 569.76 is: 853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350 : 2,023.38 = 569.76 : x
  2. Step 2: Convert to fraction form
    1,350/2,023.38 = 569.76/x
  3. Step 3: Cross multiply
    1,350x = 2,023.38 × 569.76
  4. Step 4: Simplify right side
    1,350x = 1,152,840.99
  5. Step 5: Solve for x
    x = 1,152,840.99/1,350
  6. Step 6: Final answer
    x = 853.96

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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.