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Finding the Fourth Proportional to 606.51, 909.63 and 509.58

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Solution

The fourth proportional to 606.51, 909.63 and 509.58 is: 764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.51 : 909.63 = 509.58 : x
  2. Step 2: Convert to fraction form
    606.51/909.63 = 509.58/x
  3. Step 3: Cross multiply
    606.51x = 909.63 × 509.58
  4. Step 4: Simplify right side
    606.51x = 463,529.26
  5. Step 5: Solve for x
    x = 463,529.26/606.51
  6. Step 6: Final answer
    x = 764.26

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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.