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Finding the Fourth Proportional to 1,308.13, 1,962.49 and 942.26

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Solution

The fourth proportional to 1,308.13, 1,962.49 and 942.26 is: 1,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.13 : 1,962.49 = 942.26 : x
  2. Step 2: Convert to fraction form
    1,308.13/1,962.49 = 942.26/x
  3. Step 3: Cross multiply
    1,308.13x = 1,962.49 × 942.26
  4. Step 4: Simplify right side
    1,308.13x = 1,849,175.83
  5. Step 5: Solve for x
    x = 1,849,175.83/1,308.13
  6. Step 6: Final answer
    x = 1,413.60

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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.