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Finding the Fourth Proportional to 1,464.54, 2,196.81 and 598.50

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Solution

The fourth proportional to 1,464.54, 2,196.81 and 598.50 is: 897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.54 : 2,196.81 = 598.50 : x
  2. Step 2: Convert to fraction form
    1,464.54/2,196.81 = 598.50/x
  3. Step 3: Cross multiply
    1,464.54x = 2,196.81 × 598.50
  4. Step 4: Simplify right side
    1,464.54x = 1,314,790.79
  5. Step 5: Solve for x
    x = 1,314,790.79/1,464.54
  6. Step 6: Final answer
    x = 897.75

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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.