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Finding the Fourth Proportional to 1,505.54, 2,258.39 and 465.70

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Solution

The fourth proportional to 1,505.54, 2,258.39 and 465.70 is: 698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.54 : 2,258.39 = 465.70 : x
  2. Step 2: Convert to fraction form
    1,505.54/2,258.39 = 465.70/x
  3. Step 3: Cross multiply
    1,505.54x = 2,258.39 × 465.70
  4. Step 4: Simplify right side
    1,505.54x = 1,051,732.22
  5. Step 5: Solve for x
    x = 1,051,732.22/1,505.54
  6. Step 6: Final answer
    x = 698.57

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Why These Related Problems?

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