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Finding the Fourth Proportional to 760.63, 1,049.76 and 445.98

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Solution

The fourth proportional to 760.63, 1,049.76 and 445.98 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.63 : 1,049.76 = 445.98 : x
  2. Step 2: Convert to fraction form
    760.63/1,049.76 = 445.98/x
  3. Step 3: Cross multiply
    760.63x = 1,049.76 × 445.98
  4. Step 4: Simplify right side
    760.63x = 468,171.96
  5. Step 5: Solve for x
    x = 468,171.96/760.63
  6. Step 6: Final answer
    x = 615.51

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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.