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Finding the Fourth Proportional to 690.04, 1,035.32 and 447.04

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Solution

The fourth proportional to 690.04, 1,035.32 and 447.04 is: 670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.04 : 1,035.32 = 447.04 : x
  2. Step 2: Convert to fraction form
    690.04/1,035.32 = 447.04/x
  3. Step 3: Cross multiply
    690.04x = 1,035.32 × 447.04
  4. Step 4: Simplify right side
    690.04x = 462,829.45
  5. Step 5: Solve for x
    x = 462,829.45/690.04
  6. Step 6: Final answer
    x = 670.73

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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.