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Finding the Fourth Proportional to 785.74, 1,084.30 and 436.40

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Solution

The fourth proportional to 785.74, 1,084.30 and 436.40 is: 602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.74 : 1,084.30 = 436.40 : x
  2. Step 2: Convert to fraction form
    785.74/1,084.30 = 436.40/x
  3. Step 3: Cross multiply
    785.74x = 1,084.30 × 436.40
  4. Step 4: Simplify right side
    785.74x = 473,188.52
  5. Step 5: Solve for x
    x = 473,188.52/785.74
  6. Step 6: Final answer
    x = 602.22

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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.