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Finding the Fourth Proportional to 1,113.76, 1,537.01 and 648.01

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Solution

The fourth proportional to 1,113.76, 1,537.01 and 648.01 is: 894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.76 : 1,537.01 = 648.01 : x
  2. Step 2: Convert to fraction form
    1,113.76/1,537.01 = 648.01/x
  3. Step 3: Cross multiply
    1,113.76x = 1,537.01 × 648.01
  4. Step 4: Simplify right side
    1,113.76x = 995,997.85
  5. Step 5: Solve for x
    x = 995,997.85/1,113.76
  6. Step 6: Final answer
    x = 894.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.