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Finding the Fourth Proportional to 760.91, 1,049.46 and 466.26

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Solution

The fourth proportional to 760.91, 1,049.46 and 466.26 is: 643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.91 : 1,049.46 = 466.26 : x
  2. Step 2: Convert to fraction form
    760.91/1,049.46 = 466.26/x
  3. Step 3: Cross multiply
    760.91x = 1,049.46 × 466.26
  4. Step 4: Simplify right side
    760.91x = 489,321.22
  5. Step 5: Solve for x
    x = 489,321.22/760.91
  6. Step 6: Final answer
    x = 643.08

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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.