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Finding the Fourth Proportional to 1,090.68, 1,625.75 and 1,003.20

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Solution

The fourth proportional to 1,090.68, 1,625.75 and 1,003.20 is: 1,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.68 : 1,625.75 = 1,003.20 : x
  2. Step 2: Convert to fraction form
    1,090.68/1,625.75 = 1,003.20/x
  3. Step 3: Cross multiply
    1,090.68x = 1,625.75 × 1,003.20
  4. Step 4: Simplify right side
    1,090.68x = 1,630,947.38
  5. Step 5: Solve for x
    x = 1,630,947.38/1,090.68
  6. Step 6: Final answer
    x = 1,495.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.