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Finding the Fourth Proportional to 1,457.73, 2,186.64 and 417.83

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Solution

The fourth proportional to 1,457.73, 2,186.64 and 417.83 is: 626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.73 : 2,186.64 = 417.83 : x
  2. Step 2: Convert to fraction form
    1,457.73/2,186.64 = 417.83/x
  3. Step 3: Cross multiply
    1,457.73x = 2,186.64 × 417.83
  4. Step 4: Simplify right side
    1,457.73x = 913,632.86
  5. Step 5: Solve for x
    x = 913,632.86/1,457.73
  6. Step 6: Final answer
    x = 626.75

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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.