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Finding the Fourth Proportional to 1,505.76, 2,258.03 and 580.80

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Solution

The fourth proportional to 1,505.76, 2,258.03 and 580.80 is: 870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.76 : 2,258.03 = 580.80 : x
  2. Step 2: Convert to fraction form
    1,505.76/2,258.03 = 580.80/x
  3. Step 3: Cross multiply
    1,505.76x = 2,258.03 × 580.80
  4. Step 4: Simplify right side
    1,505.76x = 1,311,460.92
  5. Step 5: Solve for x
    x = 1,311,460.92/1,505.76
  6. Step 6: Final answer
    x = 870.96

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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.