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Finding the Fourth Proportional to 780.08, 1,077 and 703.76

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Solution

The fourth proportional to 780.08, 1,077 and 703.76 is: 971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.08 : 1,077 = 703.76 : x
  2. Step 2: Convert to fraction form
    780.08/1,077 = 703.76/x
  3. Step 3: Cross multiply
    780.08x = 1,077 × 703.76
  4. Step 4: Simplify right side
    780.08x = 757,949.52
  5. Step 5: Solve for x
    x = 757,949.52/780.08
  6. Step 6: Final answer
    x = 971.63

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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.