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Finding the Fourth Proportional to 583.22, 875.03 and 570.93

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Solution

The fourth proportional to 583.22, 875.03 and 570.93 is: 856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.22 : 875.03 = 570.93 : x
  2. Step 2: Convert to fraction form
    583.22/875.03 = 570.93/x
  3. Step 3: Cross multiply
    583.22x = 875.03 × 570.93
  4. Step 4: Simplify right side
    583.22x = 499,578.02
  5. Step 5: Solve for x
    x = 499,578.02/583.22
  6. Step 6: Final answer
    x = 856.59

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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.