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Finding the Fourth Proportional to 655.73, 983.61 and 501.93

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Solution

The fourth proportional to 655.73, 983.61 and 501.93 is: 752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.73 : 983.61 = 501.93 : x
  2. Step 2: Convert to fraction form
    655.73/983.61 = 501.93/x
  3. Step 3: Cross multiply
    655.73x = 983.61 × 501.93
  4. Step 4: Simplify right side
    655.73x = 493,703.37
  5. Step 5: Solve for x
    x = 493,703.37/655.73
  6. Step 6: Final answer
    x = 752.91

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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.