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Finding the Fourth Proportional to 847.86, 1,270.71 and 705.30

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Solution

The fourth proportional to 847.86, 1,270.71 and 705.30 is: 1,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.86 : 1,270.71 = 705.30 : x
  2. Step 2: Convert to fraction form
    847.86/1,270.71 = 705.30/x
  3. Step 3: Cross multiply
    847.86x = 1,270.71 × 705.30
  4. Step 4: Simplify right side
    847.86x = 896,231.76
  5. Step 5: Solve for x
    x = 896,231.76/847.86
  6. Step 6: Final answer
    x = 1,057.05

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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.