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Finding the Fourth Proportional to 1,003.72, 1,385.10 and 561.67

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Solution

The fourth proportional to 1,003.72, 1,385.10 and 561.67 is: 775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.72 : 1,385.10 = 561.67 : x
  2. Step 2: Convert to fraction form
    1,003.72/1,385.10 = 561.67/x
  3. Step 3: Cross multiply
    1,003.72x = 1,385.10 × 561.67
  4. Step 4: Simplify right side
    1,003.72x = 777,969.12
  5. Step 5: Solve for x
    x = 777,969.12/1,003.72
  6. Step 6: Final answer
    x = 775.09

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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.