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Finding the Fourth Proportional to 1,055.70, 1,455.51 and 865.95

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Solution

The fourth proportional to 1,055.70, 1,455.51 and 865.95 is: 1,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.70 : 1,455.51 = 865.95 : x
  2. Step 2: Convert to fraction form
    1,055.70/1,455.51 = 865.95/x
  3. Step 3: Cross multiply
    1,055.70x = 1,455.51 × 865.95
  4. Step 4: Simplify right side
    1,055.70x = 1,260,398.88
  5. Step 5: Solve for x
    x = 1,260,398.88/1,055.70
  6. Step 6: Final answer
    x = 1,193.90

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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.