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Finding the Fourth Proportional to 1,137.74, 1,703.57 and 955.49

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Solution

The fourth proportional to 1,137.74, 1,703.57 and 955.49 is: 1,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.74 : 1,703.57 = 955.49 : x
  2. Step 2: Convert to fraction form
    1,137.74/1,703.57 = 955.49/x
  3. Step 3: Cross multiply
    1,137.74x = 1,703.57 × 955.49
  4. Step 4: Simplify right side
    1,137.74x = 1,627,730.80
  5. Step 5: Solve for x
    x = 1,627,730.80/1,137.74
  6. Step 6: Final answer
    x = 1,430.68

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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.