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Finding the Fourth Proportional to 1,697.42, 2,544.55 and 658.10

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Solution

The fourth proportional to 1,697.42, 2,544.55 and 658.10 is: 986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.42 : 2,544.55 = 658.10 : x
  2. Step 2: Convert to fraction form
    1,697.42/2,544.55 = 658.10/x
  3. Step 3: Cross multiply
    1,697.42x = 2,544.55 × 658.10
  4. Step 4: Simplify right side
    1,697.42x = 1,674,552.34
  5. Step 5: Solve for x
    x = 1,674,552.34/1,697.42
  6. Step 6: Final answer
    x = 986.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.