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Finding the Fourth Proportional to 785.86, 1,084.57 and 436.58

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Solution

The fourth proportional to 785.86, 1,084.57 and 436.58 is: 602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.86 : 1,084.57 = 436.58 : x
  2. Step 2: Convert to fraction form
    785.86/1,084.57 = 436.58/x
  3. Step 3: Cross multiply
    785.86x = 1,084.57 × 436.58
  4. Step 4: Simplify right side
    785.86x = 473,501.57
  5. Step 5: Solve for x
    x = 473,501.57/785.86
  6. Step 6: Final answer
    x = 602.53

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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.