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Finding the Fourth Proportional to 689.08, 950.70 and 412.92

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Solution

The fourth proportional to 689.08, 950.70 and 412.92 is: 569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.08 : 950.70 = 412.92 : x
  2. Step 2: Convert to fraction form
    689.08/950.70 = 412.92/x
  3. Step 3: Cross multiply
    689.08x = 950.70 × 412.92
  4. Step 4: Simplify right side
    689.08x = 392,563.04
  5. Step 5: Solve for x
    x = 392,563.04/689.08
  6. Step 6: Final answer
    x = 569.69

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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.