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Finding the Fourth Proportional to 738.35, 1,106.46 and 463.67

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Solution

The fourth proportional to 738.35, 1,106.46 and 463.67 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.35 : 1,106.46 = 463.67 : x
  2. Step 2: Convert to fraction form
    738.35/1,106.46 = 463.67/x
  3. Step 3: Cross multiply
    738.35x = 1,106.46 × 463.67
  4. Step 4: Simplify right side
    738.35x = 513,032.31
  5. Step 5: Solve for x
    x = 513,032.31/738.35
  6. Step 6: Final answer
    x = 694.84

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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.