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Finding the Fourth Proportional to 689.40, 950.94 and 456.60

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Solution

The fourth proportional to 689.40, 950.94 and 456.60 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.40 : 950.94 = 456.60 : x
  2. Step 2: Convert to fraction form
    689.40/950.94 = 456.60/x
  3. Step 3: Cross multiply
    689.40x = 950.94 × 456.60
  4. Step 4: Simplify right side
    689.40x = 434,199.20
  5. Step 5: Solve for x
    x = 434,199.20/689.40
  6. Step 6: Final answer
    x = 629.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.