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Finding the Fourth Proportional to 770.77, 1,063.23 and 475.83

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Solution

The fourth proportional to 770.77, 1,063.23 and 475.83 is: 656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.77 : 1,063.23 = 475.83 : x
  2. Step 2: Convert to fraction form
    770.77/1,063.23 = 475.83/x
  3. Step 3: Cross multiply
    770.77x = 1,063.23 × 475.83
  4. Step 4: Simplify right side
    770.77x = 505,909.04
  5. Step 5: Solve for x
    x = 505,909.04/770.77
  6. Step 6: Final answer
    x = 656.37

Related Problems

Find fourth proportional to 385.38, 531.61 and 237.91
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Double scale
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1.5x scale

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.