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Finding the Fourth Proportional to 760.44, 1,049.24 and 583.60

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Solution

The fourth proportional to 760.44, 1,049.24 and 583.60 is: 805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.44 : 1,049.24 = 583.60 : x
  2. Step 2: Convert to fraction form
    760.44/1,049.24 = 583.60/x
  3. Step 3: Cross multiply
    760.44x = 1,049.24 × 583.60
  4. Step 4: Simplify right side
    760.44x = 612,336.46
  5. Step 5: Solve for x
    x = 612,336.46/760.44
  6. Step 6: Final answer
    x = 805.24

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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.