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Finding the Fourth Proportional to 760.74, 1,049.06 and 683.26

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Solution

The fourth proportional to 760.74, 1,049.06 and 683.26 is: 942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.74 : 1,049.06 = 683.26 : x
  2. Step 2: Convert to fraction form
    760.74/1,049.06 = 683.26/x
  3. Step 3: Cross multiply
    760.74x = 1,049.06 × 683.26
  4. Step 4: Simplify right side
    760.74x = 716,780.74
  5. Step 5: Solve for x
    x = 716,780.74/760.74
  6. Step 6: Final answer
    x = 942.22

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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.