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Finding the Fourth Proportional to 926.46, 1,389.83 and 464.25

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Solution

The fourth proportional to 926.46, 1,389.83 and 464.25 is: 696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.46 : 1,389.83 = 464.25 : x
  2. Step 2: Convert to fraction form
    926.46/1,389.83 = 464.25/x
  3. Step 3: Cross multiply
    926.46x = 1,389.83 × 464.25
  4. Step 4: Simplify right side
    926.46x = 645,228.58
  5. Step 5: Solve for x
    x = 645,228.58/926.46
  6. Step 6: Final answer
    x = 696.45

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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.