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Finding the Fourth Proportional to 1,176.78, 1,763.70 and 744.06

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Solution

The fourth proportional to 1,176.78, 1,763.70 and 744.06 is: 1,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.78 : 1,763.70 = 744.06 : x
  2. Step 2: Convert to fraction form
    1,176.78/1,763.70 = 744.06/x
  3. Step 3: Cross multiply
    1,176.78x = 1,763.70 × 744.06
  4. Step 4: Simplify right side
    1,176.78x = 1,312,298.62
  5. Step 5: Solve for x
    x = 1,312,298.62/1,176.78
  6. Step 6: Final answer
    x = 1,115.16

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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.