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Finding the Fourth Proportional to 760.69, 1,049.67 and 445.94

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Solution

The fourth proportional to 760.69, 1,049.67 and 445.94 is: 615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.69 : 1,049.67 = 445.94 : x
  2. Step 2: Convert to fraction form
    760.69/1,049.67 = 445.94/x
  3. Step 3: Cross multiply
    760.69x = 1,049.67 × 445.94
  4. Step 4: Simplify right side
    760.69x = 468,089.84
  5. Step 5: Solve for x
    x = 468,089.84/760.69
  6. Step 6: Final answer
    x = 615.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.