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Finding the Fourth Proportional to 1,131.76, 1,697.64 and 310.15

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Solution

The fourth proportional to 1,131.76, 1,697.64 and 310.15 is: 465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.76 : 1,697.64 = 310.15 : x
  2. Step 2: Convert to fraction form
    1,131.76/1,697.64 = 310.15/x
  3. Step 3: Cross multiply
    1,131.76x = 1,697.64 × 310.15
  4. Step 4: Simplify right side
    1,131.76x = 526,524.00
  5. Step 5: Solve for x
    x = 526,524.00/1,131.76
  6. Step 6: Final answer
    x = 465.23

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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.