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Finding the Fourth Proportional to 760.44, 1,049.04 and 465.72

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Solution

The fourth proportional to 760.44, 1,049.04 and 465.72 is: 642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.44 : 1,049.04 = 465.72 : x
  2. Step 2: Convert to fraction form
    760.44/1,049.04 = 465.72/x
  3. Step 3: Cross multiply
    760.44x = 1,049.04 × 465.72
  4. Step 4: Simplify right side
    760.44x = 488,558.91
  5. Step 5: Solve for x
    x = 488,558.91/760.44
  6. Step 6: Final answer
    x = 642.47

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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.