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Finding the Fourth Proportional to 1,137.91, 1,569.95 and 665.46

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Solution

The fourth proportional to 1,137.91, 1,569.95 and 665.46 is: 918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.91 : 1,569.95 = 665.46 : x
  2. Step 2: Convert to fraction form
    1,137.91/1,569.95 = 665.46/x
  3. Step 3: Cross multiply
    1,137.91x = 1,569.95 × 665.46
  4. Step 4: Simplify right side
    1,137.91x = 1,044,738.93
  5. Step 5: Solve for x
    x = 1,044,738.93/1,137.91
  6. Step 6: Final answer
    x = 918.12

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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.