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Finding the Fourth Proportional to 1,505.95, 2,259.22 and 465.84

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Solution

The fourth proportional to 1,505.95, 2,259.22 and 465.84 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.95 : 2,259.22 = 465.84 : x
  2. Step 2: Convert to fraction form
    1,505.95/2,259.22 = 465.84/x
  3. Step 3: Cross multiply
    1,505.95x = 2,259.22 × 465.84
  4. Step 4: Simplify right side
    1,505.95x = 1,052,430.27
  5. Step 5: Solve for x
    x = 1,052,430.27/1,505.95
  6. Step 6: Final answer
    x = 698.85

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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.