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Finding the Fourth Proportional to 673.96, 1,009.62 and 457

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Solution

The fourth proportional to 673.96, 1,009.62 and 457 is: 684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.96 : 1,009.62 = 457 : x
  2. Step 2: Convert to fraction form
    673.96/1,009.62 = 457/x
  3. Step 3: Cross multiply
    673.96x = 1,009.62 × 457
  4. Step 4: Simplify right side
    673.96x = 461,396.34
  5. Step 5: Solve for x
    x = 461,396.34/673.96
  6. Step 6: Final answer
    x = 684.60

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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.