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Finding the Fourth Proportional to 1,413.70, 1,951.23 and 882.88

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Solution

The fourth proportional to 1,413.70, 1,951.23 and 882.88 is: 1,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.70 : 1,951.23 = 882.88 : x
  2. Step 2: Convert to fraction form
    1,413.70/1,951.23 = 882.88/x
  3. Step 3: Cross multiply
    1,413.70x = 1,951.23 × 882.88
  4. Step 4: Simplify right side
    1,413.70x = 1,722,701.94
  5. Step 5: Solve for x
    x = 1,722,701.94/1,413.70
  6. Step 6: Final answer
    x = 1,218.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.