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Finding the Fourth Proportional to 1,464.76, 2,195.46 and 598

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Solution

The fourth proportional to 1,464.76, 2,195.46 and 598 is: 896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.76 : 2,195.46 = 598 : x
  2. Step 2: Convert to fraction form
    1,464.76/2,195.46 = 598/x
  3. Step 3: Cross multiply
    1,464.76x = 2,195.46 × 598
  4. Step 4: Simplify right side
    1,464.76x = 1,312,885.08
  5. Step 5: Solve for x
    x = 1,312,885.08/1,464.76
  6. Step 6: Final answer
    x = 896.31

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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.