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Finding the Fourth Proportional to 926.96, 1,389.78 and 464.41

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Solution

The fourth proportional to 926.96, 1,389.78 and 464.41 is: 696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.96 : 1,389.78 = 464.41 : x
  2. Step 2: Convert to fraction form
    926.96/1,389.78 = 464.41/x
  3. Step 3: Cross multiply
    926.96x = 1,389.78 × 464.41
  4. Step 4: Simplify right side
    926.96x = 645,420.78
  5. Step 5: Solve for x
    x = 645,420.78/926.96
  6. Step 6: Final answer
    x = 696.28

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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.