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Finding the Fourth Proportional to 1,131.04, 1,697.64 and 619.12

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Solution

The fourth proportional to 1,131.04, 1,697.64 and 619.12 is: 929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.04 : 1,697.64 = 619.12 : x
  2. Step 2: Convert to fraction form
    1,131.04/1,697.64 = 619.12/x
  3. Step 3: Cross multiply
    1,131.04x = 1,697.64 × 619.12
  4. Step 4: Simplify right side
    1,131.04x = 1,051,042.88
  5. Step 5: Solve for x
    x = 1,051,042.88/1,131.04
  6. Step 6: Final answer
    x = 929.27

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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.