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Finding the Fourth Proportional to 950.55, 1,425.14 and 457.05

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Solution

The fourth proportional to 950.55, 1,425.14 and 457.05 is: 685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.55 : 1,425.14 = 457.05 : x
  2. Step 2: Convert to fraction form
    950.55/1,425.14 = 457.05/x
  3. Step 3: Cross multiply
    950.55x = 1,425.14 × 457.05
  4. Step 4: Simplify right side
    950.55x = 651,357.67
  5. Step 5: Solve for x
    x = 651,357.67/950.55
  6. Step 6: Final answer
    x = 685.24

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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.