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Finding the Fourth Proportional to 666.45, 918.78 and 541.91

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Solution

The fourth proportional to 666.45, 918.78 and 541.91 is: 747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.45 : 918.78 = 541.91 : x
  2. Step 2: Convert to fraction form
    666.45/918.78 = 541.91/x
  3. Step 3: Cross multiply
    666.45x = 918.78 × 541.91
  4. Step 4: Simplify right side
    666.45x = 497,891.48
  5. Step 5: Solve for x
    x = 497,891.48/666.45
  6. Step 6: Final answer
    x = 747.08

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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.