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Finding the Fourth Proportional to 1,164.46, 1,746.64 and 394.96

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Solution

The fourth proportional to 1,164.46, 1,746.64 and 394.96 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.46 : 1,746.64 = 394.96 : x
  2. Step 2: Convert to fraction form
    1,164.46/1,746.64 = 394.96/x
  3. Step 3: Cross multiply
    1,164.46x = 1,746.64 × 394.96
  4. Step 4: Simplify right side
    1,164.46x = 689,852.93
  5. Step 5: Solve for x
    x = 689,852.93/1,164.46
  6. Step 6: Final answer
    x = 592.42

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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.