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Finding the Fourth Proportional to 760.84, 1,141.26 and 298.84

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Solution

The fourth proportional to 760.84, 1,141.26 and 298.84 is: 448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.84 : 1,141.26 = 298.84 : x
  2. Step 2: Convert to fraction form
    760.84/1,141.26 = 298.84/x
  3. Step 3: Cross multiply
    760.84x = 1,141.26 × 298.84
  4. Step 4: Simplify right side
    760.84x = 341,054.14
  5. Step 5: Solve for x
    x = 341,054.14/760.84
  6. Step 6: Final answer
    x = 448.26

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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.