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Finding the Fourth Proportional to 798.58, 1,102.26 and 588.70

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Solution

The fourth proportional to 798.58, 1,102.26 and 588.70 is: 812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.58 : 1,102.26 = 588.70 : x
  2. Step 2: Convert to fraction form
    798.58/1,102.26 = 588.70/x
  3. Step 3: Cross multiply
    798.58x = 1,102.26 × 588.70
  4. Step 4: Simplify right side
    798.58x = 648,900.46
  5. Step 5: Solve for x
    x = 648,900.46/798.58
  6. Step 6: Final answer
    x = 812.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.