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Finding the Fourth Proportional to 600.13, 901.41 and 583.12

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Solution

The fourth proportional to 600.13, 901.41 and 583.12 is: 875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.13 : 901.41 = 583.12 : x
  2. Step 2: Convert to fraction form
    600.13/901.41 = 583.12/x
  3. Step 3: Cross multiply
    600.13x = 901.41 × 583.12
  4. Step 4: Simplify right side
    600.13x = 525,630.20
  5. Step 5: Solve for x
    x = 525,630.20/600.13
  6. Step 6: Final answer
    x = 875.86

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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.