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Finding the Fourth Proportional to 770.45, 1,060.85 and 708.53

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Solution

The fourth proportional to 770.45, 1,060.85 and 708.53 is: 975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.45 : 1,060.85 = 708.53 : x
  2. Step 2: Convert to fraction form
    770.45/1,060.85 = 708.53/x
  3. Step 3: Cross multiply
    770.45x = 1,060.85 × 708.53
  4. Step 4: Simplify right side
    770.45x = 751,644.05
  5. Step 5: Solve for x
    x = 751,644.05/770.45
  6. Step 6: Final answer
    x = 975.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.