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Finding the Fourth Proportional to 1,413.32, 1,950.90 and 917.30

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Solution

The fourth proportional to 1,413.32, 1,950.90 and 917.30 is: 1,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.32 : 1,950.90 = 917.30 : x
  2. Step 2: Convert to fraction form
    1,413.32/1,950.90 = 917.30/x
  3. Step 3: Cross multiply
    1,413.32x = 1,950.90 × 917.30
  4. Step 4: Simplify right side
    1,413.32x = 1,789,554.69
  5. Step 5: Solve for x
    x = 1,789,554.69/1,413.32
  6. Step 6: Final answer
    x = 1,266.20

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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.