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Finding the Fourth Proportional to 601.22, 830.25 and 557.54

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Solution

The fourth proportional to 601.22, 830.25 and 557.54 is: 769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.22 : 830.25 = 557.54 : x
  2. Step 2: Convert to fraction form
    601.22/830.25 = 557.54/x
  3. Step 3: Cross multiply
    601.22x = 830.25 × 557.54
  4. Step 4: Simplify right side
    601.22x = 462,897.59
  5. Step 5: Solve for x
    x = 462,897.59/601.22
  6. Step 6: Final answer
    x = 769.93

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Why These Related Problems?

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