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Finding the Fourth Proportional to 738.85, 1,106.67 and 348.26

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Solution

The fourth proportional to 738.85, 1,106.67 and 348.26 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.85 : 1,106.67 = 348.26 : x
  2. Step 2: Convert to fraction form
    738.85/1,106.67 = 348.26/x
  3. Step 3: Cross multiply
    738.85x = 1,106.67 × 348.26
  4. Step 4: Simplify right side
    738.85x = 385,411.66
  5. Step 5: Solve for x
    x = 385,411.66/738.85
  6. Step 6: Final answer
    x = 521.64

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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.