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Finding the Fourth Proportional to 760.92, 1,141.26 and 298.50

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Solution

The fourth proportional to 760.92, 1,141.26 and 298.50 is: 447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.92 : 1,141.26 = 298.50 : x
  2. Step 2: Convert to fraction form
    760.92/1,141.26 = 298.50/x
  3. Step 3: Cross multiply
    760.92x = 1,141.26 × 298.50
  4. Step 4: Simplify right side
    760.92x = 340,666.11
  5. Step 5: Solve for x
    x = 340,666.11/760.92
  6. Step 6: Final answer
    x = 447.70

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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.