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Finding the Fourth Proportional to 1,143.20, 1,577.64 and 671.43

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Solution

The fourth proportional to 1,143.20, 1,577.64 and 671.43 is: 926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.20 : 1,577.64 = 671.43 : x
  2. Step 2: Convert to fraction form
    1,143.20/1,577.64 = 671.43/x
  3. Step 3: Cross multiply
    1,143.20x = 1,577.64 × 671.43
  4. Step 4: Simplify right side
    1,143.20x = 1,059,274.83
  5. Step 5: Solve for x
    x = 1,059,274.83/1,143.20
  6. Step 6: Final answer
    x = 926.59

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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.