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Finding the Fourth Proportional to 1,577.36, 2,362.43 and 756.22

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Solution

The fourth proportional to 1,577.36, 2,362.43 and 756.22 is: 1,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.36 : 2,362.43 = 756.22 : x
  2. Step 2: Convert to fraction form
    1,577.36/2,362.43 = 756.22/x
  3. Step 3: Cross multiply
    1,577.36x = 2,362.43 × 756.22
  4. Step 4: Simplify right side
    1,577.36x = 1,786,512.80
  5. Step 5: Solve for x
    x = 1,786,512.80/1,577.36
  6. Step 6: Final answer
    x = 1,132.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.