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Finding the Fourth Proportional to 601.99, 830.06 and 491.12

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Solution

The fourth proportional to 601.99, 830.06 and 491.12 is: 677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.99 : 830.06 = 491.12 : x
  2. Step 2: Convert to fraction form
    601.99/830.06 = 491.12/x
  3. Step 3: Cross multiply
    601.99x = 830.06 × 491.12
  4. Step 4: Simplify right side
    601.99x = 407,659.07
  5. Step 5: Solve for x
    x = 407,659.07/601.99
  6. Step 6: Final answer
    x = 677.19

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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.