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Finding the Fourth Proportional to 1,208.40, 1,814.04 and 776.40

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Solution

The fourth proportional to 1,208.40, 1,814.04 and 776.40 is: 1,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.40 : 1,814.04 = 776.40 : x
  2. Step 2: Convert to fraction form
    1,208.40/1,814.04 = 776.40/x
  3. Step 3: Cross multiply
    1,208.40x = 1,814.04 × 776.40
  4. Step 4: Simplify right side
    1,208.40x = 1,408,420.66
  5. Step 5: Solve for x
    x = 1,408,420.66/1,208.40
  6. Step 6: Final answer
    x = 1,165.53

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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.