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Finding the Fourth Proportional to 780.53, 1,170.59 and 347.39

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Solution

The fourth proportional to 780.53, 1,170.59 and 347.39 is: 520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.53 : 1,170.59 = 347.39 : x
  2. Step 2: Convert to fraction form
    780.53/1,170.59 = 347.39/x
  3. Step 3: Cross multiply
    780.53x = 1,170.59 × 347.39
  4. Step 4: Simplify right side
    780.53x = 406,645.41
  5. Step 5: Solve for x
    x = 406,645.41/780.53
  6. Step 6: Final answer
    x = 520.99

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