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Finding the Fourth Proportional to 1,457.46, 2,185.47 and 635.38

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Solution

The fourth proportional to 1,457.46, 2,185.47 and 635.38 is: 952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.46 : 2,185.47 = 635.38 : x
  2. Step 2: Convert to fraction form
    1,457.46/2,185.47 = 635.38/x
  3. Step 3: Cross multiply
    1,457.46x = 2,185.47 × 635.38
  4. Step 4: Simplify right side
    1,457.46x = 1,388,598.46
  5. Step 5: Solve for x
    x = 1,388,598.46/1,457.46
  6. Step 6: Final answer
    x = 952.75

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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.