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Finding the Fourth Proportional to 666.89, 919.51 and 542.35

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Solution

The fourth proportional to 666.89, 919.51 and 542.35 is: 747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.89 : 919.51 = 542.35 : x
  2. Step 2: Convert to fraction form
    666.89/919.51 = 542.35/x
  3. Step 3: Cross multiply
    666.89x = 919.51 × 542.35
  4. Step 4: Simplify right side
    666.89x = 498,696.25
  5. Step 5: Solve for x
    x = 498,696.25/666.89
  6. Step 6: Final answer
    x = 747.79

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Why These Related Problems?

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