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Finding the Fourth Proportional to 770.55, 1,057.98 and 750.50

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Solution

The fourth proportional to 770.55, 1,057.98 and 750.50 is: 1,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.55 : 1,057.98 = 750.50 : x
  2. Step 2: Convert to fraction form
    770.55/1,057.98 = 750.50/x
  3. Step 3: Cross multiply
    770.55x = 1,057.98 × 750.50
  4. Step 4: Simplify right side
    770.55x = 794,010.24
  5. Step 5: Solve for x
    x = 794,010.24/770.55
  6. Step 6: Final answer
    x = 1,030.45

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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.