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Finding the Fourth Proportional to 1,184.24, 1,776.36 and 404.24

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Solution

The fourth proportional to 1,184.24, 1,776.36 and 404.24 is: 606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.24 : 1,776.36 = 404.24 : x
  2. Step 2: Convert to fraction form
    1,184.24/1,776.36 = 404.24/x
  3. Step 3: Cross multiply
    1,184.24x = 1,776.36 × 404.24
  4. Step 4: Simplify right side
    1,184.24x = 718,066.88
  5. Step 5: Solve for x
    x = 718,066.88/1,184.24
  6. Step 6: Final answer
    x = 606.36

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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.