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Finding the Fourth Proportional to 674.57, 1,010.61 and 430.58

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Solution

The fourth proportional to 674.57, 1,010.61 and 430.58 is: 645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.57 : 1,010.61 = 430.58 : x
  2. Step 2: Convert to fraction form
    674.57/1,010.61 = 430.58/x
  3. Step 3: Cross multiply
    674.57x = 1,010.61 × 430.58
  4. Step 4: Simplify right side
    674.57x = 435,143.40
  5. Step 5: Solve for x
    x = 435,143.40/674.57
  6. Step 6: Final answer
    x = 645.07

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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.