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Finding the Fourth Proportional to 1,132.09, 1,697.86 and 310.32

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Solution

The fourth proportional to 1,132.09, 1,697.86 and 310.32 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.09 : 1,697.86 = 310.32 : x
  2. Step 2: Convert to fraction form
    1,132.09/1,697.86 = 310.32/x
  3. Step 3: Cross multiply
    1,132.09x = 1,697.86 × 310.32
  4. Step 4: Simplify right side
    1,132.09x = 526,884.92
  5. Step 5: Solve for x
    x = 526,884.92/1,132.09
  6. Step 6: Final answer
    x = 465.41

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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.