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Finding the Fourth Proportional to 760.70, 1,049.76 and 411.39

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Solution

The fourth proportional to 760.70, 1,049.76 and 411.39 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.70 : 1,049.76 = 411.39 : x
  2. Step 2: Convert to fraction form
    760.70/1,049.76 = 411.39/x
  3. Step 3: Cross multiply
    760.70x = 1,049.76 × 411.39
  4. Step 4: Simplify right side
    760.70x = 431,858.37
  5. Step 5: Solve for x
    x = 431,858.37/760.70
  6. Step 6: Final answer
    x = 567.71

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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.