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Finding the Fourth Proportional to 1,137.21, 1,569.42 and 665.12

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Solution

The fourth proportional to 1,137.21, 1,569.42 and 665.12 is: 917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.21 : 1,569.42 = 665.12 : x
  2. Step 2: Convert to fraction form
    1,137.21/1,569.42 = 665.12/x
  3. Step 3: Cross multiply
    1,137.21x = 1,569.42 × 665.12
  4. Step 4: Simplify right side
    1,137.21x = 1,043,852.63
  5. Step 5: Solve for x
    x = 1,043,852.63/1,137.21
  6. Step 6: Final answer
    x = 917.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.