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Finding the Fourth Proportional to 1,184.02, 1,776.10 and 306.54

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Solution

The fourth proportional to 1,184.02, 1,776.10 and 306.54 is: 459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.02 : 1,776.10 = 306.54 : x
  2. Step 2: Convert to fraction form
    1,184.02/1,776.10 = 306.54/x
  3. Step 3: Cross multiply
    1,184.02x = 1,776.10 × 306.54
  4. Step 4: Simplify right side
    1,184.02x = 544,445.69
  5. Step 5: Solve for x
    x = 544,445.69/1,184.02
  6. Step 6: Final answer
    x = 459.83

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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.