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Finding the Fourth Proportional to 1,515.94, 2,273.29 and 735.30

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Solution

The fourth proportional to 1,515.94, 2,273.29 and 735.30 is: 1,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.94 : 2,273.29 = 735.30 : x
  2. Step 2: Convert to fraction form
    1,515.94/2,273.29 = 735.30/x
  3. Step 3: Cross multiply
    1,515.94x = 2,273.29 × 735.30
  4. Step 4: Simplify right side
    1,515.94x = 1,671,548.30
  5. Step 5: Solve for x
    x = 1,671,548.30/1,515.94
  6. Step 6: Final answer
    x = 1,102.65

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1.5x scale

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.