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Finding the Fourth Proportional to 702.70, 1,054.17 and 413.50

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Solution

The fourth proportional to 702.70, 1,054.17 and 413.50 is: 620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.70 : 1,054.17 = 413.50 : x
  2. Step 2: Convert to fraction form
    702.70/1,054.17 = 413.50/x
  3. Step 3: Cross multiply
    702.70x = 1,054.17 × 413.50
  4. Step 4: Simplify right side
    702.70x = 435,899.30
  5. Step 5: Solve for x
    x = 435,899.30/702.70
  6. Step 6: Final answer
    x = 620.32

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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.