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Finding the Fourth Proportional to 665.54, 919.02 and 526.42

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Solution

The fourth proportional to 665.54, 919.02 and 526.42 is: 726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.54 : 919.02 = 526.42 : x
  2. Step 2: Convert to fraction form
    665.54/919.02 = 526.42/x
  3. Step 3: Cross multiply
    665.54x = 919.02 × 526.42
  4. Step 4: Simplify right side
    665.54x = 483,790.51
  5. Step 5: Solve for x
    x = 483,790.51/665.54
  6. Step 6: Final answer
    x = 726.91

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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.