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Finding the Fourth Proportional to 1,457.44, 2,185.19 and 532.82

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Solution

The fourth proportional to 1,457.44, 2,185.19 and 532.82 is: 798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.44 : 2,185.19 = 532.82 : x
  2. Step 2: Convert to fraction form
    1,457.44/2,185.19 = 532.82/x
  3. Step 3: Cross multiply
    1,457.44x = 2,185.19 × 532.82
  4. Step 4: Simplify right side
    1,457.44x = 1,164,312.94
  5. Step 5: Solve for x
    x = 1,164,312.94/1,457.44
  6. Step 6: Final answer
    x = 798.88

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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.