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Finding the Fourth Proportional to 770.23, 1,062.93 and 438.67

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Solution

The fourth proportional to 770.23, 1,062.93 and 438.67 is: 605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.23 : 1,062.93 = 438.67 : x
  2. Step 2: Convert to fraction form
    770.23/1,062.93 = 438.67/x
  3. Step 3: Cross multiply
    770.23x = 1,062.93 × 438.67
  4. Step 4: Simplify right side
    770.23x = 466,275.50
  5. Step 5: Solve for x
    x = 466,275.50/770.23
  6. Step 6: Final answer
    x = 605.37

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