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Finding the Fourth Proportional to 926.48, 1,389.89 and 464.17

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Solution

The fourth proportional to 926.48, 1,389.89 and 464.17 is: 696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.48 : 1,389.89 = 464.17 : x
  2. Step 2: Convert to fraction form
    926.48/1,389.89 = 464.17/x
  3. Step 3: Cross multiply
    926.48x = 1,389.89 × 464.17
  4. Step 4: Simplify right side
    926.48x = 645,145.24
  5. Step 5: Solve for x
    x = 645,145.24/926.48
  6. Step 6: Final answer
    x = 696.34

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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.