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Finding the Fourth Proportional to 774.84, 1,162.26 and 410.34

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Solution

The fourth proportional to 774.84, 1,162.26 and 410.34 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,162.26 = 410.34 : x
  2. Step 2: Convert to fraction form
    774.84/1,162.26 = 410.34/x
  3. Step 3: Cross multiply
    774.84x = 1,162.26 × 410.34
  4. Step 4: Simplify right side
    774.84x = 476,921.77
  5. Step 5: Solve for x
    x = 476,921.77/774.84
  6. Step 6: Final answer
    x = 615.51

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.