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Finding the Fourth Proportional to 1,465.23, 2,197.85 and 599.54

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Solution

The fourth proportional to 1,465.23, 2,197.85 and 599.54 is: 899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.23 : 2,197.85 = 599.54 : x
  2. Step 2: Convert to fraction form
    1,465.23/2,197.85 = 599.54/x
  3. Step 3: Cross multiply
    1,465.23x = 2,197.85 × 599.54
  4. Step 4: Simplify right side
    1,465.23x = 1,317,695.49
  5. Step 5: Solve for x
    x = 1,317,695.49/1,465.23
  6. Step 6: Final answer
    x = 899.31

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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.