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Finding the Fourth Proportional to 785.83, 1,084.56 and 565.51

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Solution

The fourth proportional to 785.83, 1,084.56 and 565.51 is: 780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.83 : 1,084.56 = 565.51 : x
  2. Step 2: Convert to fraction form
    785.83/1,084.56 = 565.51/x
  3. Step 3: Cross multiply
    785.83x = 1,084.56 × 565.51
  4. Step 4: Simplify right side
    785.83x = 613,329.53
  5. Step 5: Solve for x
    x = 613,329.53/785.83
  6. Step 6: Final answer
    x = 780.49

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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.