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Finding the Fourth Proportional to 707.85, 977.34 and 459.33

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Solution

The fourth proportional to 707.85, 977.34 and 459.33 is: 634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.85 : 977.34 = 459.33 : x
  2. Step 2: Convert to fraction form
    707.85/977.34 = 459.33/x
  3. Step 3: Cross multiply
    707.85x = 977.34 × 459.33
  4. Step 4: Simplify right side
    707.85x = 448,921.58
  5. Step 5: Solve for x
    x = 448,921.58/707.85
  6. Step 6: Final answer
    x = 634.20

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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.