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Finding the Fourth Proportional to 670.32, 1,004.04 and 452.88

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Solution

The fourth proportional to 670.32, 1,004.04 and 452.88 is: 678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.32 : 1,004.04 = 452.88 : x
  2. Step 2: Convert to fraction form
    670.32/1,004.04 = 452.88/x
  3. Step 3: Cross multiply
    670.32x = 1,004.04 × 452.88
  4. Step 4: Simplify right side
    670.32x = 454,709.64
  5. Step 5: Solve for x
    x = 454,709.64/670.32
  6. Step 6: Final answer
    x = 678.35

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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.