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Finding the Fourth Proportional to 778.06, 1,165.71 and 693.32

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Solution

The fourth proportional to 778.06, 1,165.71 and 693.32 is: 1,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.06 : 1,165.71 = 693.32 : x
  2. Step 2: Convert to fraction form
    778.06/1,165.71 = 693.32/x
  3. Step 3: Cross multiply
    778.06x = 1,165.71 × 693.32
  4. Step 4: Simplify right side
    778.06x = 808,204.23
  5. Step 5: Solve for x
    x = 808,204.23/778.06
  6. Step 6: Final answer
    x = 1,038.75

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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.