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Finding the Fourth Proportional to 1,168.16, 1,612.72 and 775.72

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Solution

The fourth proportional to 1,168.16, 1,612.72 and 775.72 is: 1,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.16 : 1,612.72 = 775.72 : x
  2. Step 2: Convert to fraction form
    1,168.16/1,612.72 = 775.72/x
  3. Step 3: Cross multiply
    1,168.16x = 1,612.72 × 775.72
  4. Step 4: Simplify right side
    1,168.16x = 1,251,019.16
  5. Step 5: Solve for x
    x = 1,251,019.16/1,168.16
  6. Step 6: Final answer
    x = 1,070.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.