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Finding the Fourth Proportional to 1,697.60, 2,546.44 and 465.02

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Solution

The fourth proportional to 1,697.60, 2,546.44 and 465.02 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.60 : 2,546.44 = 465.02 : x
  2. Step 2: Convert to fraction form
    1,697.60/2,546.44 = 465.02/x
  3. Step 3: Cross multiply
    1,697.60x = 2,546.44 × 465.02
  4. Step 4: Simplify right side
    1,697.60x = 1,184,145.53
  5. Step 5: Solve for x
    x = 1,184,145.53/1,697.60
  6. Step 6: Final answer
    x = 697.54

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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.