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Finding the Fourth Proportional to 1,090.90, 1,505.37 and 648.85

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Solution

The fourth proportional to 1,090.90, 1,505.37 and 648.85 is: 895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.90 : 1,505.37 = 648.85 : x
  2. Step 2: Convert to fraction form
    1,090.90/1,505.37 = 648.85/x
  3. Step 3: Cross multiply
    1,090.90x = 1,505.37 × 648.85
  4. Step 4: Simplify right side
    1,090.90x = 976,759.32
  5. Step 5: Solve for x
    x = 976,759.32/1,090.90
  6. Step 6: Final answer
    x = 895.37

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1.5x scale

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.