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Finding the Fourth Proportional to 1,509.44, 2,264.16 and 739.52

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Solution

The fourth proportional to 1,509.44, 2,264.16 and 739.52 is: 1,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.44 : 2,264.16 = 739.52 : x
  2. Step 2: Convert to fraction form
    1,509.44/2,264.16 = 739.52/x
  3. Step 3: Cross multiply
    1,509.44x = 2,264.16 × 739.52
  4. Step 4: Simplify right side
    1,509.44x = 1,674,391.60
  5. Step 5: Solve for x
    x = 1,674,391.60/1,509.44
  6. Step 6: Final answer
    x = 1,109.28

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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.