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Finding the Fourth Proportional to 1,154.94, 1,732.14 and 374.92

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Solution

The fourth proportional to 1,154.94, 1,732.14 and 374.92 is: 562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.94 : 1,732.14 = 374.92 : x
  2. Step 2: Convert to fraction form
    1,154.94/1,732.14 = 374.92/x
  3. Step 3: Cross multiply
    1,154.94x = 1,732.14 × 374.92
  4. Step 4: Simplify right side
    1,154.94x = 649,413.93
  5. Step 5: Solve for x
    x = 649,413.93/1,154.94
  6. Step 6: Final answer
    x = 562.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.