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Finding the Fourth Proportional to 1,465.11, 2,197.11 and 424.77

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Solution

The fourth proportional to 1,465.11, 2,197.11 and 424.77 is: 636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.11 : 2,197.11 = 424.77 : x
  2. Step 2: Convert to fraction form
    1,465.11/2,197.11 = 424.77/x
  3. Step 3: Cross multiply
    1,465.11x = 2,197.11 × 424.77
  4. Step 4: Simplify right side
    1,465.11x = 933,266.41
  5. Step 5: Solve for x
    x = 933,266.41/1,465.11
  6. Step 6: Final answer
    x = 636.99

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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.