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Finding the Fourth Proportional to 1,090.62, 1,504.98 and 648.24

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Solution

The fourth proportional to 1,090.62, 1,504.98 and 648.24 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.62 : 1,504.98 = 648.24 : x
  2. Step 2: Convert to fraction form
    1,090.62/1,504.98 = 648.24/x
  3. Step 3: Cross multiply
    1,090.62x = 1,504.98 × 648.24
  4. Step 4: Simplify right side
    1,090.62x = 975,588.24
  5. Step 5: Solve for x
    x = 975,588.24/1,090.62
  6. Step 6: Final answer
    x = 894.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.