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Finding the Fourth Proportional to 655.86, 982.58 and 502.77

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Solution

The fourth proportional to 655.86, 982.58 and 502.77 is: 753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.86 : 982.58 = 502.77 : x
  2. Step 2: Convert to fraction form
    655.86/982.58 = 502.77/x
  3. Step 3: Cross multiply
    655.86x = 982.58 × 502.77
  4. Step 4: Simplify right side
    655.86x = 494,009.23
  5. Step 5: Solve for x
    x = 494,009.23/655.86
  6. Step 6: Final answer
    x = 753.22

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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.