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Finding the Fourth Proportional to 1,184.42, 1,776.48 and 362.48

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Solution

The fourth proportional to 1,184.42, 1,776.48 and 362.48 is: 543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.42 : 1,776.48 = 362.48 : x
  2. Step 2: Convert to fraction form
    1,184.42/1,776.48 = 362.48/x
  3. Step 3: Cross multiply
    1,184.42x = 1,776.48 × 362.48
  4. Step 4: Simplify right side
    1,184.42x = 643,930.27
  5. Step 5: Solve for x
    x = 643,930.27/1,184.42
  6. Step 6: Final answer
    x = 543.67

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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.