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Finding the Fourth Proportional to 786.22, 1,084.93 and 436.91

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Solution

The fourth proportional to 786.22, 1,084.93 and 436.91 is: 602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.22 : 1,084.93 = 436.91 : x
  2. Step 2: Convert to fraction form
    786.22/1,084.93 = 436.91/x
  3. Step 3: Cross multiply
    786.22x = 1,084.93 × 436.91
  4. Step 4: Simplify right side
    786.22x = 474,016.77
  5. Step 5: Solve for x
    x = 474,016.77/786.22
  6. Step 6: Final answer
    x = 602.91

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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.