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Finding the Fourth Proportional to 1,505.46, 2,258.40 and 683.94

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Solution

The fourth proportional to 1,505.46, 2,258.40 and 683.94 is: 1,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.46 : 2,258.40 = 683.94 : x
  2. Step 2: Convert to fraction form
    1,505.46/2,258.40 = 683.94/x
  3. Step 3: Cross multiply
    1,505.46x = 2,258.40 × 683.94
  4. Step 4: Simplify right side
    1,505.46x = 1,544,610.10
  5. Step 5: Solve for x
    x = 1,544,610.10/1,505.46
  6. Step 6: Final answer
    x = 1,026.01

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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.