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Finding the Fourth Proportional to 1,690, 2,534.84 and 457.54

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Solution

The fourth proportional to 1,690, 2,534.84 and 457.54 is: 686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690 : 2,534.84 = 457.54 : x
  2. Step 2: Convert to fraction form
    1,690/2,534.84 = 457.54/x
  3. Step 3: Cross multiply
    1,690x = 2,534.84 × 457.54
  4. Step 4: Simplify right side
    1,690x = 1,159,790.69
  5. Step 5: Solve for x
    x = 1,159,790.69/1,690
  6. Step 6: Final answer
    x = 686.27

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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.