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Finding the Fourth Proportional to 1,131.60, 1,697.44 and 362

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Solution

The fourth proportional to 1,131.60, 1,697.44 and 362 is: 543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.60 : 1,697.44 = 362 : x
  2. Step 2: Convert to fraction form
    1,131.60/1,697.44 = 362/x
  3. Step 3: Cross multiply
    1,131.60x = 1,697.44 × 362
  4. Step 4: Simplify right side
    1,131.60x = 614,473.28
  5. Step 5: Solve for x
    x = 614,473.28/1,131.60
  6. Step 6: Final answer
    x = 543.01

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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.