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Finding the Fourth Proportional to 1,135.54, 1,566.57 and 668.98

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Solution

The fourth proportional to 1,135.54, 1,566.57 and 668.98 is: 922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.54 : 1,566.57 = 668.98 : x
  2. Step 2: Convert to fraction form
    1,135.54/1,566.57 = 668.98/x
  3. Step 3: Cross multiply
    1,135.54x = 1,566.57 × 668.98
  4. Step 4: Simplify right side
    1,135.54x = 1,048,004.00
  5. Step 5: Solve for x
    x = 1,048,004.00/1,135.54
  6. Step 6: Final answer
    x = 922.91

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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.