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Finding the Fourth Proportional to 613.24, 917.34 and 510.66

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Solution

The fourth proportional to 613.24, 917.34 and 510.66 is: 763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.24 : 917.34 = 510.66 : x
  2. Step 2: Convert to fraction form
    613.24/917.34 = 510.66/x
  3. Step 3: Cross multiply
    613.24x = 917.34 × 510.66
  4. Step 4: Simplify right side
    613.24x = 468,448.84
  5. Step 5: Solve for x
    x = 468,448.84/613.24
  6. Step 6: Final answer
    x = 763.89

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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.