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Finding the Fourth Proportional to 1,509.78, 2,265.09 and 536.58

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Solution

The fourth proportional to 1,509.78, 2,265.09 and 536.58 is: 805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.78 : 2,265.09 = 536.58 : x
  2. Step 2: Convert to fraction form
    1,509.78/2,265.09 = 536.58/x
  3. Step 3: Cross multiply
    1,509.78x = 2,265.09 × 536.58
  4. Step 4: Simplify right side
    1,509.78x = 1,215,401.99
  5. Step 5: Solve for x
    x = 1,215,401.99/1,509.78
  6. Step 6: Final answer
    x = 805.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.