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Finding the Fourth Proportional to 1,128.50, 1,557.48 and 662.75

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Solution

The fourth proportional to 1,128.50, 1,557.48 and 662.75 is: 914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.50 : 1,557.48 = 662.75 : x
  2. Step 2: Convert to fraction form
    1,128.50/1,557.48 = 662.75/x
  3. Step 3: Cross multiply
    1,128.50x = 1,557.48 × 662.75
  4. Step 4: Simplify right side
    1,128.50x = 1,032,219.87
  5. Step 5: Solve for x
    x = 1,032,219.87/1,128.50
  6. Step 6: Final answer
    x = 914.68

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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.