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Finding the Fourth Proportional to 779.85, 1,076.06 and 465.10

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Solution

The fourth proportional to 779.85, 1,076.06 and 465.10 is: 641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.85 : 1,076.06 = 465.10 : x
  2. Step 2: Convert to fraction form
    779.85/1,076.06 = 465.10/x
  3. Step 3: Cross multiply
    779.85x = 1,076.06 × 465.10
  4. Step 4: Simplify right side
    779.85x = 500,475.51
  5. Step 5: Solve for x
    x = 500,475.51/779.85
  6. Step 6: Final answer
    x = 641.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.