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Finding the Fourth Proportional to 1,235.66, 1,706.47 and 1,137.24

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Solution

The fourth proportional to 1,235.66, 1,706.47 and 1,137.24 is: 1,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.66 : 1,706.47 = 1,137.24 : x
  2. Step 2: Convert to fraction form
    1,235.66/1,706.47 = 1,137.24/x
  3. Step 3: Cross multiply
    1,235.66x = 1,706.47 × 1,137.24
  4. Step 4: Simplify right side
    1,235.66x = 1,940,663.10
  5. Step 5: Solve for x
    x = 1,940,663.10/1,235.66
  6. Step 6: Final answer
    x = 1,570.55

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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.