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Finding the Fourth Proportional to 776.99, 1,165.37 and 257.35

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Solution

The fourth proportional to 776.99, 1,165.37 and 257.35 is: 385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.99 : 1,165.37 = 257.35 : x
  2. Step 2: Convert to fraction form
    776.99/1,165.37 = 257.35/x
  3. Step 3: Cross multiply
    776.99x = 1,165.37 × 257.35
  4. Step 4: Simplify right side
    776.99x = 299,911.77
  5. Step 5: Solve for x
    x = 299,911.77/776.99
  6. Step 6: Final answer
    x = 385.99

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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.