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Finding the Fourth Proportional to 581.60, 796.84 and 573.50

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Solution

The fourth proportional to 581.60, 796.84 and 573.50 is: 785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 796.84 = 573.50 : x
  2. Step 2: Convert to fraction form
    581.60/796.84 = 573.50/x
  3. Step 3: Cross multiply
    581.60x = 796.84 × 573.50
  4. Step 4: Simplify right side
    581.60x = 456,987.74
  5. Step 5: Solve for x
    x = 456,987.74/581.60
  6. Step 6: Final answer
    x = 785.74

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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.