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Finding the Fourth Proportional to 943.46, 1,413.82 and 670.08

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Solution

The fourth proportional to 943.46, 1,413.82 and 670.08 is: 1,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.46 : 1,413.82 = 670.08 : x
  2. Step 2: Convert to fraction form
    943.46/1,413.82 = 670.08/x
  3. Step 3: Cross multiply
    943.46x = 1,413.82 × 670.08
  4. Step 4: Simplify right side
    943.46x = 947,372.51
  5. Step 5: Solve for x
    x = 947,372.51/943.46
  6. Step 6: Final answer
    x = 1,004.15

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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.