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Finding the Fourth Proportional to 786.13, 1,084.92 and 436.88

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Solution

The fourth proportional to 786.13, 1,084.92 and 436.88 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.13 : 1,084.92 = 436.88 : x
  2. Step 2: Convert to fraction form
    786.13/1,084.92 = 436.88/x
  3. Step 3: Cross multiply
    786.13x = 1,084.92 × 436.88
  4. Step 4: Simplify right side
    786.13x = 473,979.85
  5. Step 5: Solve for x
    x = 473,979.85/786.13
  6. Step 6: Final answer
    x = 602.93

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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.