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Finding the Fourth Proportional to 786.51, 1,084.19 and 524.07

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Solution

The fourth proportional to 786.51, 1,084.19 and 524.07 is: 722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.51 : 1,084.19 = 524.07 : x
  2. Step 2: Convert to fraction form
    786.51/1,084.19 = 524.07/x
  3. Step 3: Cross multiply
    786.51x = 1,084.19 × 524.07
  4. Step 4: Simplify right side
    786.51x = 568,188.83
  5. Step 5: Solve for x
    x = 568,188.83/786.51
  6. Step 6: Final answer
    x = 722.42

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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.