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Finding the Fourth Proportional to 846.64, 1,270.08 and 413.50

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Solution

The fourth proportional to 846.64, 1,270.08 and 413.50 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.64 : 1,270.08 = 413.50 : x
  2. Step 2: Convert to fraction form
    846.64/1,270.08 = 413.50/x
  3. Step 3: Cross multiply
    846.64x = 1,270.08 × 413.50
  4. Step 4: Simplify right side
    846.64x = 525,178.08
  5. Step 5: Solve for x
    x = 525,178.08/846.64
  6. Step 6: Final answer
    x = 620.31

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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.