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Finding the Fourth Proportional to 776.54, 1,071.61 and 427.23

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Solution

The fourth proportional to 776.54, 1,071.61 and 427.23 is: 589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.54 : 1,071.61 = 427.23 : x
  2. Step 2: Convert to fraction form
    776.54/1,071.61 = 427.23/x
  3. Step 3: Cross multiply
    776.54x = 1,071.61 × 427.23
  4. Step 4: Simplify right side
    776.54x = 457,822.87
  5. Step 5: Solve for x
    x = 457,822.87/776.54
  6. Step 6: Final answer
    x = 589.57

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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.