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Finding the Fourth Proportional to 1,137.15, 1,696.26 and 1,005.93

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Solution

The fourth proportional to 1,137.15, 1,696.26 and 1,005.93 is: 1,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.15 : 1,696.26 = 1,005.93 : x
  2. Step 2: Convert to fraction form
    1,137.15/1,696.26 = 1,005.93/x
  3. Step 3: Cross multiply
    1,137.15x = 1,696.26 × 1,005.93
  4. Step 4: Simplify right side
    1,137.15x = 1,706,313.79
  5. Step 5: Solve for x
    x = 1,706,313.79/1,137.15
  6. Step 6: Final answer
    x = 1,500.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.