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Finding the Fourth Proportional to 760.51, 1,140.46 and 298.23

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Solution

The fourth proportional to 760.51, 1,140.46 and 298.23 is: 447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.51 : 1,140.46 = 298.23 : x
  2. Step 2: Convert to fraction form
    760.51/1,140.46 = 298.23/x
  3. Step 3: Cross multiply
    760.51x = 1,140.46 × 298.23
  4. Step 4: Simplify right side
    760.51x = 340,122.46
  5. Step 5: Solve for x
    x = 340,122.46/760.51
  6. Step 6: Final answer
    x = 447.23

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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.