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Finding the Fourth Proportional to 1,123.53, 1,551.30 and 682.02

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Solution

The fourth proportional to 1,123.53, 1,551.30 and 682.02 is: 941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.53 : 1,551.30 = 682.02 : x
  2. Step 2: Convert to fraction form
    1,123.53/1,551.30 = 682.02/x
  3. Step 3: Cross multiply
    1,123.53x = 1,551.30 × 682.02
  4. Step 4: Simplify right side
    1,123.53x = 1,058,017.63
  5. Step 5: Solve for x
    x = 1,058,017.63/1,123.53
  6. Step 6: Final answer
    x = 941.69

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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.