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Finding the Fourth Proportional to 673.68, 1,009.56 and 458.16

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Solution

The fourth proportional to 673.68, 1,009.56 and 458.16 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.68 : 1,009.56 = 458.16 : x
  2. Step 2: Convert to fraction form
    673.68/1,009.56 = 458.16/x
  3. Step 3: Cross multiply
    673.68x = 1,009.56 × 458.16
  4. Step 4: Simplify right side
    673.68x = 462,540.01
  5. Step 5: Solve for x
    x = 462,540.01/673.68
  6. Step 6: Final answer
    x = 686.59

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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.