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Finding the Fourth Proportional to 1,073.79, 1,607.45 and 785.43

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Solution

The fourth proportional to 1,073.79, 1,607.45 and 785.43 is: 1,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.79 : 1,607.45 = 785.43 : x
  2. Step 2: Convert to fraction form
    1,073.79/1,607.45 = 785.43/x
  3. Step 3: Cross multiply
    1,073.79x = 1,607.45 × 785.43
  4. Step 4: Simplify right side
    1,073.79x = 1,262,535.53
  5. Step 5: Solve for x
    x = 1,262,535.53/1,073.79
  6. Step 6: Final answer
    x = 1,175.78

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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.