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Finding the Fourth Proportional to 1,180.26, 1,767.51 and 693.45

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Solution

The fourth proportional to 1,180.26, 1,767.51 and 693.45 is: 1,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.26 : 1,767.51 = 693.45 : x
  2. Step 2: Convert to fraction form
    1,180.26/1,767.51 = 693.45/x
  3. Step 3: Cross multiply
    1,180.26x = 1,767.51 × 693.45
  4. Step 4: Simplify right side
    1,180.26x = 1,225,679.81
  5. Step 5: Solve for x
    x = 1,225,679.81/1,180.26
  6. Step 6: Final answer
    x = 1,038.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.