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Finding the Fourth Proportional to 713.86, 1,070.16 and 670.84

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Solution

The fourth proportional to 713.86, 1,070.16 and 670.84 is: 1,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.86 : 1,070.16 = 670.84 : x
  2. Step 2: Convert to fraction form
    713.86/1,070.16 = 670.84/x
  3. Step 3: Cross multiply
    713.86x = 1,070.16 × 670.84
  4. Step 4: Simplify right side
    713.86x = 717,906.13
  5. Step 5: Solve for x
    x = 717,906.13/713.86
  6. Step 6: Final answer
    x = 1,005.67

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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.