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Finding the Fourth Proportional to 785.93, 1,086.08 and 589.10

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Solution

The fourth proportional to 785.93, 1,086.08 and 589.10 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.93 : 1,086.08 = 589.10 : x
  2. Step 2: Convert to fraction form
    785.93/1,086.08 = 589.10/x
  3. Step 3: Cross multiply
    785.93x = 1,086.08 × 589.10
  4. Step 4: Simplify right side
    785.93x = 639,801.35
  5. Step 5: Solve for x
    x = 639,801.35/785.93
  6. Step 6: Final answer
    x = 814.07

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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.