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Finding the Fourth Proportional to 684.07, 1,024.82 and 405.60

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Solution

The fourth proportional to 684.07, 1,024.82 and 405.60 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 1,024.82 = 405.60 : x
  2. Step 2: Convert to fraction form
    684.07/1,024.82 = 405.60/x
  3. Step 3: Cross multiply
    684.07x = 1,024.82 × 405.60
  4. Step 4: Simplify right side
    684.07x = 415,666.99
  5. Step 5: Solve for x
    x = 415,666.99/684.07
  6. Step 6: Final answer
    x = 607.64

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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.