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Finding the Fourth Proportional to 1,184.31, 1,776.47 and 362.57

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Solution

The fourth proportional to 1,184.31, 1,776.47 and 362.57 is: 543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.31 : 1,776.47 = 362.57 : x
  2. Step 2: Convert to fraction form
    1,184.31/1,776.47 = 362.57/x
  3. Step 3: Cross multiply
    1,184.31x = 1,776.47 × 362.57
  4. Step 4: Simplify right side
    1,184.31x = 644,084.03
  5. Step 5: Solve for x
    x = 644,084.03/1,184.31
  6. Step 6: Final answer
    x = 543.85

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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.