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Finding the Fourth Proportional to 926.21, 1,389.50 and 464.21

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Solution

The fourth proportional to 926.21, 1,389.50 and 464.21 is: 696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.21 : 1,389.50 = 464.21 : x
  2. Step 2: Convert to fraction form
    926.21/1,389.50 = 464.21/x
  3. Step 3: Cross multiply
    926.21x = 1,389.50 × 464.21
  4. Step 4: Simplify right side
    926.21x = 645,016.18
  5. Step 5: Solve for x
    x = 645,016.18/926.21
  6. Step 6: Final answer
    x = 696.40

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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.