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Finding the Fourth Proportional to 785.65, 1,083.86 and 491.01

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Solution

The fourth proportional to 785.65, 1,083.86 and 491.01 is: 677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.65 : 1,083.86 = 491.01 : x
  2. Step 2: Convert to fraction form
    785.65/1,083.86 = 491.01/x
  3. Step 3: Cross multiply
    785.65x = 1,083.86 × 491.01
  4. Step 4: Simplify right side
    785.65x = 532,186.14
  5. Step 5: Solve for x
    x = 532,186.14/785.65
  6. Step 6: Final answer
    x = 677.38

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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.