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Finding the Fourth Proportional to 1,184.40, 1,776.54 and 817.20

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Solution

The fourth proportional to 1,184.40, 1,776.54 and 817.20 is: 1,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.40 : 1,776.54 = 817.20 : x
  2. Step 2: Convert to fraction form
    1,184.40/1,776.54 = 817.20/x
  3. Step 3: Cross multiply
    1,184.40x = 1,776.54 × 817.20
  4. Step 4: Simplify right side
    1,184.40x = 1,451,788.49
  5. Step 5: Solve for x
    x = 1,451,788.49/1,184.40
  6. Step 6: Final answer
    x = 1,225.76

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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.