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Finding the Fourth Proportional to 1,123.03, 1,548.37 and 965.35

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Solution

The fourth proportional to 1,123.03, 1,548.37 and 965.35 is: 1,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.03 : 1,548.37 = 965.35 : x
  2. Step 2: Convert to fraction form
    1,123.03/1,548.37 = 965.35/x
  3. Step 3: Cross multiply
    1,123.03x = 1,548.37 × 965.35
  4. Step 4: Simplify right side
    1,123.03x = 1,494,706.41
  5. Step 5: Solve for x
    x = 1,494,706.41/1,123.03
  6. Step 6: Final answer
    x = 1,330.96

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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.