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Finding the Fourth Proportional to 1,176.76, 1,771.63 and 1,018

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Solution

The fourth proportional to 1,176.76, 1,771.63 and 1,018 is: 1,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.76 : 1,771.63 = 1,018 : x
  2. Step 2: Convert to fraction form
    1,176.76/1,771.63 = 1,018/x
  3. Step 3: Cross multiply
    1,176.76x = 1,771.63 × 1,018
  4. Step 4: Simplify right side
    1,176.76x = 1,803,519.34
  5. Step 5: Solve for x
    x = 1,803,519.34/1,176.76
  6. Step 6: Final answer
    x = 1,532.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.