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Finding the Fourth Proportional to 1,463, 2,195.52 and 597.32

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Solution

The fourth proportional to 1,463, 2,195.52 and 597.32 is: 896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463 : 2,195.52 = 597.32 : x
  2. Step 2: Convert to fraction form
    1,463/2,195.52 = 597.32/x
  3. Step 3: Cross multiply
    1,463x = 2,195.52 × 597.32
  4. Step 4: Simplify right side
    1,463x = 1,311,428.01
  5. Step 5: Solve for x
    x = 1,311,428.01/1,463
  6. Step 6: Final answer
    x = 896.40

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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.