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Finding the Fourth Proportional to 676.07, 1,011.99 and 470.01

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Solution

The fourth proportional to 676.07, 1,011.99 and 470.01 is: 703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.07 : 1,011.99 = 470.01 : x
  2. Step 2: Convert to fraction form
    676.07/1,011.99 = 470.01/x
  3. Step 3: Cross multiply
    676.07x = 1,011.99 × 470.01
  4. Step 4: Simplify right side
    676.07x = 475,645.42
  5. Step 5: Solve for x
    x = 475,645.42/676.07
  6. Step 6: Final answer
    x = 703.55

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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.