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Finding the Fourth Proportional to 1,457.56, 2,185.98 and 417.54

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Solution

The fourth proportional to 1,457.56, 2,185.98 and 417.54 is: 626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.56 : 2,185.98 = 417.54 : x
  2. Step 2: Convert to fraction form
    1,457.56/2,185.98 = 417.54/x
  3. Step 3: Cross multiply
    1,457.56x = 2,185.98 × 417.54
  4. Step 4: Simplify right side
    1,457.56x = 912,734.09
  5. Step 5: Solve for x
    x = 912,734.09/1,457.56
  6. Step 6: Final answer
    x = 626.21

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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.