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Finding the Fourth Proportional to 1,168.40, 1,753.16 and 583.46

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Solution

The fourth proportional to 1,168.40, 1,753.16 and 583.46 is: 875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.40 : 1,753.16 = 583.46 : x
  2. Step 2: Convert to fraction form
    1,168.40/1,753.16 = 583.46/x
  3. Step 3: Cross multiply
    1,168.40x = 1,753.16 × 583.46
  4. Step 4: Simplify right side
    1,168.40x = 1,022,898.73
  5. Step 5: Solve for x
    x = 1,022,898.73/1,168.40
  6. Step 6: Final answer
    x = 875.47

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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.