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Finding the Fourth Proportional to 1,090.31, 1,503.88 and 697.15

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Solution

The fourth proportional to 1,090.31, 1,503.88 and 697.15 is: 961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.31 : 1,503.88 = 697.15 : x
  2. Step 2: Convert to fraction form
    1,090.31/1,503.88 = 697.15/x
  3. Step 3: Cross multiply
    1,090.31x = 1,503.88 × 697.15
  4. Step 4: Simplify right side
    1,090.31x = 1,048,429.94
  5. Step 5: Solve for x
    x = 1,048,429.94/1,090.31
  6. Step 6: Final answer
    x = 961.59

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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.