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Finding the Fourth Proportional to 573.22, 785.90 and 562.84

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Solution

The fourth proportional to 573.22, 785.90 and 562.84 is: 771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.22 : 785.90 = 562.84 : x
  2. Step 2: Convert to fraction form
    573.22/785.90 = 562.84/x
  3. Step 3: Cross multiply
    573.22x = 785.90 × 562.84
  4. Step 4: Simplify right side
    573.22x = 442,335.96
  5. Step 5: Solve for x
    x = 442,335.96/573.22
  6. Step 6: Final answer
    x = 771.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.