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Finding the Fourth Proportional to 780.85, 1,071.93 and 670.14

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Solution

The fourth proportional to 780.85, 1,071.93 and 670.14 is: 919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.85 : 1,071.93 = 670.14 : x
  2. Step 2: Convert to fraction form
    780.85/1,071.93 = 670.14/x
  3. Step 3: Cross multiply
    780.85x = 1,071.93 × 670.14
  4. Step 4: Simplify right side
    780.85x = 718,341.66
  5. Step 5: Solve for x
    x = 718,341.66/780.85
  6. Step 6: Final answer
    x = 919.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.