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Finding the Fourth Proportional to 760.33, 1,049.28 and 465.50

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Solution

The fourth proportional to 760.33, 1,049.28 and 465.50 is: 642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.33 : 1,049.28 = 465.50 : x
  2. Step 2: Convert to fraction form
    760.33/1,049.28 = 465.50/x
  3. Step 3: Cross multiply
    760.33x = 1,049.28 × 465.50
  4. Step 4: Simplify right side
    760.33x = 488,439.84
  5. Step 5: Solve for x
    x = 488,439.84/760.33
  6. Step 6: Final answer
    x = 642.41

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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.