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Finding the Fourth Proportional to 1,352.40, 2,028.58 and 735.96

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Solution

The fourth proportional to 1,352.40, 2,028.58 and 735.96 is: 1,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.40 : 2,028.58 = 735.96 : x
  2. Step 2: Convert to fraction form
    1,352.40/2,028.58 = 735.96/x
  3. Step 3: Cross multiply
    1,352.40x = 2,028.58 × 735.96
  4. Step 4: Simplify right side
    1,352.40x = 1,492,953.74
  5. Step 5: Solve for x
    x = 1,492,953.74/1,352.40
  6. Step 6: Final answer
    x = 1,103.93

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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.