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Finding the Fourth Proportional to 1,697.74, 2,546.68 and 602.22

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Solution

The fourth proportional to 1,697.74, 2,546.68 and 602.22 is: 903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.74 : 2,546.68 = 602.22 : x
  2. Step 2: Convert to fraction form
    1,697.74/2,546.68 = 602.22/x
  3. Step 3: Cross multiply
    1,697.74x = 2,546.68 × 602.22
  4. Step 4: Simplify right side
    1,697.74x = 1,533,661.63
  5. Step 5: Solve for x
    x = 1,533,661.63/1,697.74
  6. Step 6: Final answer
    x = 903.35

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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.