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Finding the Fourth Proportional to 1,131.72, 1,696.48 and 437.85

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Solution

The fourth proportional to 1,131.72, 1,696.48 and 437.85 is: 656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.72 : 1,696.48 = 437.85 : x
  2. Step 2: Convert to fraction form
    1,131.72/1,696.48 = 437.85/x
  3. Step 3: Cross multiply
    1,131.72x = 1,696.48 × 437.85
  4. Step 4: Simplify right side
    1,131.72x = 742,803.77
  5. Step 5: Solve for x
    x = 742,803.77/1,131.72
  6. Step 6: Final answer
    x = 656.35

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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.