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Finding the Fourth Proportional to 926.62, 1,390.83 and 440

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Solution

The fourth proportional to 926.62, 1,390.83 and 440 is: 660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.62 : 1,390.83 = 440 : x
  2. Step 2: Convert to fraction form
    926.62/1,390.83 = 440/x
  3. Step 3: Cross multiply
    926.62x = 1,390.83 × 440
  4. Step 4: Simplify right side
    926.62x = 611,965.20
  5. Step 5: Solve for x
    x = 611,965.20/926.62
  6. Step 6: Final answer
    x = 660.43

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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.