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Finding the Fourth Proportional to 1,040, 1,555.16 and 776.92

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Solution

The fourth proportional to 1,040, 1,555.16 and 776.92 is: 1,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040 : 1,555.16 = 776.92 : x
  2. Step 2: Convert to fraction form
    1,040/1,555.16 = 776.92/x
  3. Step 3: Cross multiply
    1,040x = 1,555.16 × 776.92
  4. Step 4: Simplify right side
    1,040x = 1,208,234.91
  5. Step 5: Solve for x
    x = 1,208,234.91/1,040
  6. Step 6: Final answer
    x = 1,161.76

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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.