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Finding the Fourth Proportional to 1,115.51, 1,539.41 and 649.76

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Solution

The fourth proportional to 1,115.51, 1,539.41 and 649.76 is: 896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.51 : 1,539.41 = 649.76 : x
  2. Step 2: Convert to fraction form
    1,115.51/1,539.41 = 649.76/x
  3. Step 3: Cross multiply
    1,115.51x = 1,539.41 × 649.76
  4. Step 4: Simplify right side
    1,115.51x = 1,000,247.04
  5. Step 5: Solve for x
    x = 1,000,247.04/1,115.51
  6. Step 6: Final answer
    x = 896.67

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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.