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Finding the Fourth Proportional to 689.45, 948.62 and 595.89

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Solution

The fourth proportional to 689.45, 948.62 and 595.89 is: 819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.45 : 948.62 = 595.89 : x
  2. Step 2: Convert to fraction form
    689.45/948.62 = 595.89/x
  3. Step 3: Cross multiply
    689.45x = 948.62 × 595.89
  4. Step 4: Simplify right side
    689.45x = 565,273.17
  5. Step 5: Solve for x
    x = 565,273.17/689.45
  6. Step 6: Final answer
    x = 819.89

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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.