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Finding the Fourth Proportional to 925.82, 1,389.66 and 463.93

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Solution

The fourth proportional to 925.82, 1,389.66 and 463.93 is: 696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.82 : 1,389.66 = 463.93 : x
  2. Step 2: Convert to fraction form
    925.82/1,389.66 = 463.93/x
  3. Step 3: Cross multiply
    925.82x = 1,389.66 × 463.93
  4. Step 4: Simplify right side
    925.82x = 644,704.96
  5. Step 5: Solve for x
    x = 644,704.96/925.82
  6. Step 6: Final answer
    x = 696.36

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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.