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Finding the Fourth Proportional to 1,090.51, 1,504.92 and 648.46

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Solution

The fourth proportional to 1,090.51, 1,504.92 and 648.46 is: 894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.51 : 1,504.92 = 648.46 : x
  2. Step 2: Convert to fraction form
    1,090.51/1,504.92 = 648.46/x
  3. Step 3: Cross multiply
    1,090.51x = 1,504.92 × 648.46
  4. Step 4: Simplify right side
    1,090.51x = 975,880.42
  5. Step 5: Solve for x
    x = 975,880.42/1,090.51
  6. Step 6: Final answer
    x = 894.88

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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.