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Finding the Fourth Proportional to 926.98, 1,389.24 and 406.19

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Solution

The fourth proportional to 926.98, 1,389.24 and 406.19 is: 608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.98 : 1,389.24 = 406.19 : x
  2. Step 2: Convert to fraction form
    926.98/1,389.24 = 406.19/x
  3. Step 3: Cross multiply
    926.98x = 1,389.24 × 406.19
  4. Step 4: Simplify right side
    926.98x = 564,298.87
  5. Step 5: Solve for x
    x = 564,298.87/926.98
  6. Step 6: Final answer
    x = 608.75

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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.