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Finding the Fourth Proportional to 770.26, 1,063.14 and 438.77

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Solution

The fourth proportional to 770.26, 1,063.14 and 438.77 is: 605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.26 : 1,063.14 = 438.77 : x
  2. Step 2: Convert to fraction form
    770.26/1,063.14 = 438.77/x
  3. Step 3: Cross multiply
    770.26x = 1,063.14 × 438.77
  4. Step 4: Simplify right side
    770.26x = 466,472.93
  5. Step 5: Solve for x
    x = 466,472.93/770.26
  6. Step 6: Final answer
    x = 605.60

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Half scale
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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.