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Finding the Fourth Proportional to 926.82, 1,389.57 and 406.53

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Solution

The fourth proportional to 926.82, 1,389.57 and 406.53 is: 609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.82 : 1,389.57 = 406.53 : x
  2. Step 2: Convert to fraction form
    926.82/1,389.57 = 406.53/x
  3. Step 3: Cross multiply
    926.82x = 1,389.57 × 406.53
  4. Step 4: Simplify right side
    926.82x = 564,901.89
  5. Step 5: Solve for x
    x = 564,901.89/926.82
  6. Step 6: Final answer
    x = 609.51

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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.