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Finding the Fourth Proportional to 674.30, 928.59 and 556.70

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Solution

The fourth proportional to 674.30, 928.59 and 556.70 is: 766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.30 : 928.59 = 556.70 : x
  2. Step 2: Convert to fraction form
    674.30/928.59 = 556.70/x
  3. Step 3: Cross multiply
    674.30x = 928.59 × 556.70
  4. Step 4: Simplify right side
    674.30x = 516,946.05
  5. Step 5: Solve for x
    x = 516,946.05/674.30
  6. Step 6: Final answer
    x = 766.64

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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.