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Finding the Fourth Proportional to 725.58, 1,090.16 and 465.71

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Solution

The fourth proportional to 725.58, 1,090.16 and 465.71 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.58 : 1,090.16 = 465.71 : x
  2. Step 2: Convert to fraction form
    725.58/1,090.16 = 465.71/x
  3. Step 3: Cross multiply
    725.58x = 1,090.16 × 465.71
  4. Step 4: Simplify right side
    725.58x = 507,690.63
  5. Step 5: Solve for x
    x = 507,690.63/725.58
  6. Step 6: Final answer
    x = 699.70

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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.