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Finding the Fourth Proportional to 1,413.77, 1,951.16 and 824.67

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Solution

The fourth proportional to 1,413.77, 1,951.16 and 824.67 is: 1,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.77 : 1,951.16 = 824.67 : x
  2. Step 2: Convert to fraction form
    1,413.77/1,951.16 = 824.67/x
  3. Step 3: Cross multiply
    1,413.77x = 1,951.16 × 824.67
  4. Step 4: Simplify right side
    1,413.77x = 1,609,058.99
  5. Step 5: Solve for x
    x = 1,609,058.99/1,413.77
  6. Step 6: Final answer
    x = 1,138.14

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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.