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Finding the Fourth Proportional to 780.07, 1,168.04 and 471.51

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Solution

The fourth proportional to 780.07, 1,168.04 and 471.51 is: 706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.07 : 1,168.04 = 471.51 : x
  2. Step 2: Convert to fraction form
    780.07/1,168.04 = 471.51/x
  3. Step 3: Cross multiply
    780.07x = 1,168.04 × 471.51
  4. Step 4: Simplify right side
    780.07x = 550,738.44
  5. Step 5: Solve for x
    x = 550,738.44/780.07
  6. Step 6: Final answer
    x = 706.01

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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.