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Finding the Fourth Proportional to 748.81, 1,123.01 and 448.08

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Solution

The fourth proportional to 748.81, 1,123.01 and 448.08 is: 671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.81 : 1,123.01 = 448.08 : x
  2. Step 2: Convert to fraction form
    748.81/1,123.01 = 448.08/x
  3. Step 3: Cross multiply
    748.81x = 1,123.01 × 448.08
  4. Step 4: Simplify right side
    748.81x = 503,196.08
  5. Step 5: Solve for x
    x = 503,196.08/748.81
  6. Step 6: Final answer
    x = 671.99

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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.