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Finding the Fourth Proportional to 707.76, 977.00 and 459.09

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Solution

The fourth proportional to 707.76, 977.00 and 459.09 is: 633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.76 : 977.00 = 459.09 : x
  2. Step 2: Convert to fraction form
    707.76/977.00 = 459.09/x
  3. Step 3: Cross multiply
    707.76x = 977.00 × 459.09
  4. Step 4: Simplify right side
    707.76x = 448,528.63
  5. Step 5: Solve for x
    x = 448,528.63/707.76
  6. Step 6: Final answer
    x = 633.73

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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.