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Finding the Fourth Proportional to 1,054.35, 1,578.41 and 781.67

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Solution

The fourth proportional to 1,054.35, 1,578.41 and 781.67 is: 1,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.35 : 1,578.41 = 781.67 : x
  2. Step 2: Convert to fraction form
    1,054.35/1,578.41 = 781.67/x
  3. Step 3: Cross multiply
    1,054.35x = 1,578.41 × 781.67
  4. Step 4: Simplify right side
    1,054.35x = 1,233,783.94
  5. Step 5: Solve for x
    x = 1,233,783.94/1,054.35
  6. Step 6: Final answer
    x = 1,170.18

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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.