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Finding the Fourth Proportional to 770.58, 1,063.06 and 455.86

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Solution

The fourth proportional to 770.58, 1,063.06 and 455.86 is: 628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.58 : 1,063.06 = 455.86 : x
  2. Step 2: Convert to fraction form
    770.58/1,063.06 = 455.86/x
  3. Step 3: Cross multiply
    770.58x = 1,063.06 × 455.86
  4. Step 4: Simplify right side
    770.58x = 484,606.72
  5. Step 5: Solve for x
    x = 484,606.72/770.58
  6. Step 6: Final answer
    x = 628.89

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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.