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Finding the Fourth Proportional to 1,885.78, 2,828.47 and 499.06

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Solution

The fourth proportional to 1,885.78, 2,828.47 and 499.06 is: 748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.78 : 2,828.47 = 499.06 : x
  2. Step 2: Convert to fraction form
    1,885.78/2,828.47 = 499.06/x
  3. Step 3: Cross multiply
    1,885.78x = 2,828.47 × 499.06
  4. Step 4: Simplify right side
    1,885.78x = 1,411,576.24
  5. Step 5: Solve for x
    x = 1,411,576.24/1,885.78
  6. Step 6: Final answer
    x = 748.54

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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.