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Finding the Fourth Proportional to 776.26, 1,071.50 and 465.76

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Solution

The fourth proportional to 776.26, 1,071.50 and 465.76 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.26 : 1,071.50 = 465.76 : x
  2. Step 2: Convert to fraction form
    776.26/1,071.50 = 465.76/x
  3. Step 3: Cross multiply
    776.26x = 1,071.50 × 465.76
  4. Step 4: Simplify right side
    776.26x = 499,061.84
  5. Step 5: Solve for x
    x = 499,061.84/776.26
  6. Step 6: Final answer
    x = 642.91

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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.