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Finding the Fourth Proportional to 920.84, 1,378.67 and 703.76

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Solution

The fourth proportional to 920.84, 1,378.67 and 703.76 is: 1,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.84 : 1,378.67 = 703.76 : x
  2. Step 2: Convert to fraction form
    920.84/1,378.67 = 703.76/x
  3. Step 3: Cross multiply
    920.84x = 1,378.67 × 703.76
  4. Step 4: Simplify right side
    920.84x = 970,242.39
  5. Step 5: Solve for x
    x = 970,242.39/920.84
  6. Step 6: Final answer
    x = 1,053.65

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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.