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Finding the Fourth Proportional to 905.02, 1,357.82 and 657.77

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Solution

The fourth proportional to 905.02, 1,357.82 and 657.77 is: 986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.02 : 1,357.82 = 657.77 : x
  2. Step 2: Convert to fraction form
    905.02/1,357.82 = 657.77/x
  3. Step 3: Cross multiply
    905.02x = 1,357.82 × 657.77
  4. Step 4: Simplify right side
    905.02x = 893,127.31
  5. Step 5: Solve for x
    x = 893,127.31/905.02
  6. Step 6: Final answer
    x = 986.86

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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.