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Finding the Fourth Proportional to 780.84, 1,170.86 and 364.30

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Solution

The fourth proportional to 780.84, 1,170.86 and 364.30 is: 546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.84 : 1,170.86 = 364.30 : x
  2. Step 2: Convert to fraction form
    780.84/1,170.86 = 364.30/x
  3. Step 3: Cross multiply
    780.84x = 1,170.86 × 364.30
  4. Step 4: Simplify right side
    780.84x = 426,539.55
  5. Step 5: Solve for x
    x = 426,539.55/780.84
  6. Step 6: Final answer
    x = 546.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.