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Finding the Fourth Proportional to 1,090.12, 1,503.96 and 670.14

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Solution

The fourth proportional to 1,090.12, 1,503.96 and 670.14 is: 924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.12 : 1,503.96 = 670.14 : x
  2. Step 2: Convert to fraction form
    1,090.12/1,503.96 = 670.14/x
  3. Step 3: Cross multiply
    1,090.12x = 1,503.96 × 670.14
  4. Step 4: Simplify right side
    1,090.12x = 1,007,863.75
  5. Step 5: Solve for x
    x = 1,007,863.75/1,090.12
  6. Step 6: Final answer
    x = 924.54

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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.