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Finding the Fourth Proportional to 1,457.70, 2,186.67 and 417.70

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Solution

The fourth proportional to 1,457.70, 2,186.67 and 417.70 is: 626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.70 : 2,186.67 = 417.70 : x
  2. Step 2: Convert to fraction form
    1,457.70/2,186.67 = 417.70/x
  3. Step 3: Cross multiply
    1,457.70x = 2,186.67 × 417.70
  4. Step 4: Simplify right side
    1,457.70x = 913,372.06
  5. Step 5: Solve for x
    x = 913,372.06/1,457.70
  6. Step 6: Final answer
    x = 626.58

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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.