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Finding the Fourth Proportional to 1,130.36, 1,558.60 and 920.14

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Solution

The fourth proportional to 1,130.36, 1,558.60 and 920.14 is: 1,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.36 : 1,558.60 = 920.14 : x
  2. Step 2: Convert to fraction form
    1,130.36/1,558.60 = 920.14/x
  3. Step 3: Cross multiply
    1,130.36x = 1,558.60 × 920.14
  4. Step 4: Simplify right side
    1,130.36x = 1,434,124.01
  5. Step 5: Solve for x
    x = 1,434,124.01/1,130.36
  6. Step 6: Final answer
    x = 1,268.74

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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.