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Finding the Fourth Proportional to 1,413.52, 1,950.60 and 824.08

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Solution

The fourth proportional to 1,413.52, 1,950.60 and 824.08 is: 1,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.52 : 1,950.60 = 824.08 : x
  2. Step 2: Convert to fraction form
    1,413.52/1,950.60 = 824.08/x
  3. Step 3: Cross multiply
    1,413.52x = 1,950.60 × 824.08
  4. Step 4: Simplify right side
    1,413.52x = 1,607,450.45
  5. Step 5: Solve for x
    x = 1,607,450.45/1,413.52
  6. Step 6: Final answer
    x = 1,137.20

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