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Finding the Fourth Proportional to 1,137.64, 1,569.42 and 744.60

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Solution

The fourth proportional to 1,137.64, 1,569.42 and 744.60 is: 1,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.64 : 1,569.42 = 744.60 : x
  2. Step 2: Convert to fraction form
    1,137.64/1,569.42 = 744.60/x
  3. Step 3: Cross multiply
    1,137.64x = 1,569.42 × 744.60
  4. Step 4: Simplify right side
    1,137.64x = 1,168,590.13
  5. Step 5: Solve for x
    x = 1,168,590.13/1,137.64
  6. Step 6: Final answer
    x = 1,027.21

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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.