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Finding the Fourth Proportional to 1,090.75, 1,505.22 and 648.64

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Solution

The fourth proportional to 1,090.75, 1,505.22 and 648.64 is: 895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.75 : 1,505.22 = 648.64 : x
  2. Step 2: Convert to fraction form
    1,090.75/1,505.22 = 648.64/x
  3. Step 3: Cross multiply
    1,090.75x = 1,505.22 × 648.64
  4. Step 4: Simplify right side
    1,090.75x = 976,352.10
  5. Step 5: Solve for x
    x = 976,352.10/1,090.75
  6. Step 6: Final answer
    x = 895.12

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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.