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Finding the Fourth Proportional to 703.35, 1,055.04 and 337.74

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Solution

The fourth proportional to 703.35, 1,055.04 and 337.74 is: 506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.35 : 1,055.04 = 337.74 : x
  2. Step 2: Convert to fraction form
    703.35/1,055.04 = 337.74/x
  3. Step 3: Cross multiply
    703.35x = 1,055.04 × 337.74
  4. Step 4: Simplify right side
    703.35x = 356,329.21
  5. Step 5: Solve for x
    x = 356,329.21/703.35
  6. Step 6: Final answer
    x = 506.62

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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.