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Finding the Fourth Proportional to 1,137.86, 1,569.77 and 695.62

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Solution

The fourth proportional to 1,137.86, 1,569.77 and 695.62 is: 959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.86 : 1,569.77 = 695.62 : x
  2. Step 2: Convert to fraction form
    1,137.86/1,569.77 = 695.62/x
  3. Step 3: Cross multiply
    1,137.86x = 1,569.77 × 695.62
  4. Step 4: Simplify right side
    1,137.86x = 1,091,963.41
  5. Step 5: Solve for x
    x = 1,091,963.41/1,137.86
  6. Step 6: Final answer
    x = 959.66

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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.