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Finding the Fourth Proportional to 1,131.84, 1,697.76 and 362.34

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Solution

The fourth proportional to 1,131.84, 1,697.76 and 362.34 is: 543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.84 : 1,697.76 = 362.34 : x
  2. Step 2: Convert to fraction form
    1,131.84/1,697.76 = 362.34/x
  3. Step 3: Cross multiply
    1,131.84x = 1,697.76 × 362.34
  4. Step 4: Simplify right side
    1,131.84x = 615,166.36
  5. Step 5: Solve for x
    x = 615,166.36/1,131.84
  6. Step 6: Final answer
    x = 543.51

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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.