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Finding the Fourth Proportional to 1,413.34, 2,119.53 and 488.87

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Solution

The fourth proportional to 1,413.34, 2,119.53 and 488.87 is: 733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.34 : 2,119.53 = 488.87 : x
  2. Step 2: Convert to fraction form
    1,413.34/2,119.53 = 488.87/x
  3. Step 3: Cross multiply
    1,413.34x = 2,119.53 × 488.87
  4. Step 4: Simplify right side
    1,413.34x = 1,036,174.63
  5. Step 5: Solve for x
    x = 1,036,174.63/1,413.34
  6. Step 6: Final answer
    x = 733.14

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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.