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Finding the Fourth Proportional to 1,457.80, 2,186.37 and 417.79

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Solution

The fourth proportional to 1,457.80, 2,186.37 and 417.79 is: 626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.80 : 2,186.37 = 417.79 : x
  2. Step 2: Convert to fraction form
    1,457.80/2,186.37 = 417.79/x
  3. Step 3: Cross multiply
    1,457.80x = 2,186.37 × 417.79
  4. Step 4: Simplify right side
    1,457.80x = 913,443.52
  5. Step 5: Solve for x
    x = 913,443.52/1,457.80
  6. Step 6: Final answer
    x = 626.59

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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.