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Finding the Fourth Proportional to 1,465.02, 2,197.26 and 439.02

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Solution

The fourth proportional to 1,465.02, 2,197.26 and 439.02 is: 658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.02 : 2,197.26 = 439.02 : x
  2. Step 2: Convert to fraction form
    1,465.02/2,197.26 = 439.02/x
  3. Step 3: Cross multiply
    1,465.02x = 2,197.26 × 439.02
  4. Step 4: Simplify right side
    1,465.02x = 964,641.09
  5. Step 5: Solve for x
    x = 964,641.09/1,465.02
  6. Step 6: Final answer
    x = 658.45

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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.