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Finding the Fourth Proportional to 1,106.55, 1,660.43 and 457.13

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Solution

The fourth proportional to 1,106.55, 1,660.43 and 457.13 is: 685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.55 : 1,660.43 = 457.13 : x
  2. Step 2: Convert to fraction form
    1,106.55/1,660.43 = 457.13/x
  3. Step 3: Cross multiply
    1,106.55x = 1,660.43 × 457.13
  4. Step 4: Simplify right side
    1,106.55x = 759,021.78
  5. Step 5: Solve for x
    x = 759,021.78/1,106.55
  6. Step 6: Final answer
    x = 685.94

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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.