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Finding the Fourth Proportional to 770.29, 1,063 and 420.98

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Solution

The fourth proportional to 770.29, 1,063 and 420.98 is: 580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.29 : 1,063 = 420.98 : x
  2. Step 2: Convert to fraction form
    770.29/1,063 = 420.98/x
  3. Step 3: Cross multiply
    770.29x = 1,063 × 420.98
  4. Step 4: Simplify right side
    770.29x = 447,501.74
  5. Step 5: Solve for x
    x = 447,501.74/770.29
  6. Step 6: Final answer
    x = 580.95

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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.