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Finding the Fourth Proportional to 926.19, 1,389.51 and 463.83

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Solution

The fourth proportional to 926.19, 1,389.51 and 463.83 is: 695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.19 : 1,389.51 = 463.83 : x
  2. Step 2: Convert to fraction form
    926.19/1,389.51 = 463.83/x
  3. Step 3: Cross multiply
    926.19x = 1,389.51 × 463.83
  4. Step 4: Simplify right side
    926.19x = 644,496.42
  5. Step 5: Solve for x
    x = 644,496.42/926.19
  6. Step 6: Final answer
    x = 695.86

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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.