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Finding the Fourth Proportional to 776.62, 1,071.76 and 427.32

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Solution

The fourth proportional to 776.62, 1,071.76 and 427.32 is: 589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.62 : 1,071.76 = 427.32 : x
  2. Step 2: Convert to fraction form
    776.62/1,071.76 = 427.32/x
  3. Step 3: Cross multiply
    776.62x = 1,071.76 × 427.32
  4. Step 4: Simplify right side
    776.62x = 457,984.48
  5. Step 5: Solve for x
    x = 457,984.48/776.62
  6. Step 6: Final answer
    x = 589.72

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