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Finding the Fourth Proportional to 1,180.49, 1,770.83 and 347.50

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Solution

The fourth proportional to 1,180.49, 1,770.83 and 347.50 is: 521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.49 : 1,770.83 = 347.50 : x
  2. Step 2: Convert to fraction form
    1,180.49/1,770.83 = 347.50/x
  3. Step 3: Cross multiply
    1,180.49x = 1,770.83 × 347.50
  4. Step 4: Simplify right side
    1,180.49x = 615,352.83
  5. Step 5: Solve for x
    x = 615,352.83/1,180.49
  6. Step 6: Final answer
    x = 521.27

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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.