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Finding the Fourth Proportional to 940.61, 1,413.65 and 904.16

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Solution

The fourth proportional to 940.61, 1,413.65 and 904.16 is: 1,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.61 : 1,413.65 = 904.16 : x
  2. Step 2: Convert to fraction form
    940.61/1,413.65 = 904.16/x
  3. Step 3: Cross multiply
    940.61x = 1,413.65 × 904.16
  4. Step 4: Simplify right side
    940.61x = 1,278,171.58
  5. Step 5: Solve for x
    x = 1,278,171.58/940.61
  6. Step 6: Final answer
    x = 1,358.87

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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.