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Finding the Fourth Proportional to 668.58, 1,005.03 and 665.34

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Solution

The fourth proportional to 668.58, 1,005.03 and 665.34 is: 1,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.58 : 1,005.03 = 665.34 : x
  2. Step 2: Convert to fraction form
    668.58/1,005.03 = 665.34/x
  3. Step 3: Cross multiply
    668.58x = 1,005.03 × 665.34
  4. Step 4: Simplify right side
    668.58x = 668,686.66
  5. Step 5: Solve for x
    x = 668,686.66/668.58
  6. Step 6: Final answer
    x = 1,000.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.