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Finding the Fourth Proportional to 1,123.40, 1,695.14 and 1,078.44

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Solution

The fourth proportional to 1,123.40, 1,695.14 and 1,078.44 is: 1,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.40 : 1,695.14 = 1,078.44 : x
  2. Step 2: Convert to fraction form
    1,123.40/1,695.14 = 1,078.44/x
  3. Step 3: Cross multiply
    1,123.40x = 1,695.14 × 1,078.44
  4. Step 4: Simplify right side
    1,123.40x = 1,828,106.78
  5. Step 5: Solve for x
    x = 1,828,106.78/1,123.40
  6. Step 6: Final answer
    x = 1,627.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.