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Finding the Fourth Proportional to 1,090.44, 1,504.64 and 670.86

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Solution

The fourth proportional to 1,090.44, 1,504.64 and 670.86 is: 925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.44 : 1,504.64 = 670.86 : x
  2. Step 2: Convert to fraction form
    1,090.44/1,504.64 = 670.86/x
  3. Step 3: Cross multiply
    1,090.44x = 1,504.64 × 670.86
  4. Step 4: Simplify right side
    1,090.44x = 1,009,404.47
  5. Step 5: Solve for x
    x = 1,009,404.47/1,090.44
  6. Step 6: Final answer
    x = 925.69

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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.