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Finding the Fourth Proportional to 774.63, 1,069.02 and 443.07

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Solution

The fourth proportional to 774.63, 1,069.02 and 443.07 is: 611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.63 : 1,069.02 = 443.07 : x
  2. Step 2: Convert to fraction form
    774.63/1,069.02 = 443.07/x
  3. Step 3: Cross multiply
    774.63x = 1,069.02 × 443.07
  4. Step 4: Simplify right side
    774.63x = 473,650.69
  5. Step 5: Solve for x
    x = 473,650.69/774.63
  6. Step 6: Final answer
    x = 611.45

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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.