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Finding the Fourth Proportional to 1,131.78, 1,697.78 and 310.06

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Solution

The fourth proportional to 1,131.78, 1,697.78 and 310.06 is: 465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.78 : 1,697.78 = 310.06 : x
  2. Step 2: Convert to fraction form
    1,131.78/1,697.78 = 310.06/x
  3. Step 3: Cross multiply
    1,131.78x = 1,697.78 × 310.06
  4. Step 4: Simplify right side
    1,131.78x = 526,413.67
  5. Step 5: Solve for x
    x = 526,413.67/1,131.78
  6. Step 6: Final answer
    x = 465.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.