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Finding the Fourth Proportional to 1,465.12, 2,197.73 and 425.22

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Solution

The fourth proportional to 1,465.12, 2,197.73 and 425.22 is: 637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.12 : 2,197.73 = 425.22 : x
  2. Step 2: Convert to fraction form
    1,465.12/2,197.73 = 425.22/x
  3. Step 3: Cross multiply
    1,465.12x = 2,197.73 × 425.22
  4. Step 4: Simplify right side
    1,465.12x = 934,518.75
  5. Step 5: Solve for x
    x = 934,518.75/1,465.12
  6. Step 6: Final answer
    x = 637.84

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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.