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Finding the Fourth Proportional to 763.74, 1,051.92 and 586.89

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Solution

The fourth proportional to 763.74, 1,051.92 and 586.89 is: 808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.74 : 1,051.92 = 586.89 : x
  2. Step 2: Convert to fraction form
    763.74/1,051.92 = 586.89/x
  3. Step 3: Cross multiply
    763.74x = 1,051.92 × 586.89
  4. Step 4: Simplify right side
    763.74x = 617,361.33
  5. Step 5: Solve for x
    x = 617,361.33/763.74
  6. Step 6: Final answer
    x = 808.34

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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.