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Finding the Fourth Proportional to 776.51, 1,162.77 and 410.48

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Solution

The fourth proportional to 776.51, 1,162.77 and 410.48 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.51 : 1,162.77 = 410.48 : x
  2. Step 2: Convert to fraction form
    776.51/1,162.77 = 410.48/x
  3. Step 3: Cross multiply
    776.51x = 1,162.77 × 410.48
  4. Step 4: Simplify right side
    776.51x = 477,293.83
  5. Step 5: Solve for x
    x = 477,293.83/776.51
  6. Step 6: Final answer
    x = 614.67

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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.