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Finding the Fourth Proportional to 1,173.52, 1,749.80 and 1,044.73

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Solution

The fourth proportional to 1,173.52, 1,749.80 and 1,044.73 is: 1,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.52 : 1,749.80 = 1,044.73 : x
  2. Step 2: Convert to fraction form
    1,173.52/1,749.80 = 1,044.73/x
  3. Step 3: Cross multiply
    1,173.52x = 1,749.80 × 1,044.73
  4. Step 4: Simplify right side
    1,173.52x = 1,828,068.55
  5. Step 5: Solve for x
    x = 1,828,068.55/1,173.52
  6. Step 6: Final answer
    x = 1,557.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.