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Finding the Fourth Proportional to 703.84, 971.35 and 389.13

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Solution

The fourth proportional to 703.84, 971.35 and 389.13 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 971.35 = 389.13 : x
  2. Step 2: Convert to fraction form
    703.84/971.35 = 389.13/x
  3. Step 3: Cross multiply
    703.84x = 971.35 × 389.13
  4. Step 4: Simplify right side
    703.84x = 377,981.43
  5. Step 5: Solve for x
    x = 377,981.43/703.84
  6. Step 6: Final answer
    x = 537.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.