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Finding the Fourth Proportional to 906.48, 1,357.79 and 558.99

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Solution

The fourth proportional to 906.48, 1,357.79 and 558.99 is: 837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.48 : 1,357.79 = 558.99 : x
  2. Step 2: Convert to fraction form
    906.48/1,357.79 = 558.99/x
  3. Step 3: Cross multiply
    906.48x = 1,357.79 × 558.99
  4. Step 4: Simplify right side
    906.48x = 758,988.24
  5. Step 5: Solve for x
    x = 758,988.24/906.48
  6. Step 6: Final answer
    x = 837.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.