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Finding the Fourth Proportional to 1,237.74, 1,853.73 and 749.91

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Solution

The fourth proportional to 1,237.74, 1,853.73 and 749.91 is: 1,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.74 : 1,853.73 = 749.91 : x
  2. Step 2: Convert to fraction form
    1,237.74/1,853.73 = 749.91/x
  3. Step 3: Cross multiply
    1,237.74x = 1,853.73 × 749.91
  4. Step 4: Simplify right side
    1,237.74x = 1,390,130.66
  5. Step 5: Solve for x
    x = 1,390,130.66/1,237.74
  6. Step 6: Final answer
    x = 1,123.12

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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.