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Finding the Fourth Proportional to 1,131.64, 1,697.56 and 309.89

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Solution

The fourth proportional to 1,131.64, 1,697.56 and 309.89 is: 464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.64 : 1,697.56 = 309.89 : x
  2. Step 2: Convert to fraction form
    1,131.64/1,697.56 = 309.89/x
  3. Step 3: Cross multiply
    1,131.64x = 1,697.56 × 309.89
  4. Step 4: Simplify right side
    1,131.64x = 526,060.34
  5. Step 5: Solve for x
    x = 526,060.34/1,131.64
  6. Step 6: Final answer
    x = 464.87

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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.