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Finding the Fourth Proportional to 557.70, 836.55 and 512.90

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Solution

The fourth proportional to 557.70, 836.55 and 512.90 is: 769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.70 : 836.55 = 512.90 : x
  2. Step 2: Convert to fraction form
    557.70/836.55 = 512.90/x
  3. Step 3: Cross multiply
    557.70x = 836.55 × 512.90
  4. Step 4: Simplify right side
    557.70x = 429,066.50
  5. Step 5: Solve for x
    x = 429,066.50/557.70
  6. Step 6: Final answer
    x = 769.35

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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.