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Finding the Fourth Proportional to 1,123.40, 1,685.07 and 1,055.77

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Solution

The fourth proportional to 1,123.40, 1,685.07 and 1,055.77 is: 1,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.40 : 1,685.07 = 1,055.77 : x
  2. Step 2: Convert to fraction form
    1,123.40/1,685.07 = 1,055.77/x
  3. Step 3: Cross multiply
    1,123.40x = 1,685.07 × 1,055.77
  4. Step 4: Simplify right side
    1,123.40x = 1,779,042.14
  5. Step 5: Solve for x
    x = 1,779,042.14/1,123.40
  6. Step 6: Final answer
    x = 1,583.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.