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Finding the Fourth Proportional to 707.93, 976.34 and 459.01

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Solution

The fourth proportional to 707.93, 976.34 and 459.01 is: 633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.93 : 976.34 = 459.01 : x
  2. Step 2: Convert to fraction form
    707.93/976.34 = 459.01/x
  3. Step 3: Cross multiply
    707.93x = 976.34 × 459.01
  4. Step 4: Simplify right side
    707.93x = 448,142.65
  5. Step 5: Solve for x
    x = 448,142.65/707.93
  6. Step 6: Final answer
    x = 633.03

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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.