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Finding the Fourth Proportional to 707.78, 977.37 and 459.50

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Solution

The fourth proportional to 707.78, 977.37 and 459.50 is: 634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.78 : 977.37 = 459.50 : x
  2. Step 2: Convert to fraction form
    707.78/977.37 = 459.50/x
  3. Step 3: Cross multiply
    707.78x = 977.37 × 459.50
  4. Step 4: Simplify right side
    707.78x = 449,101.52
  5. Step 5: Solve for x
    x = 449,101.52/707.78
  6. Step 6: Final answer
    x = 634.52

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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.