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Finding the Fourth Proportional to 773.65, 1,160.93 and 286.74

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Solution

The fourth proportional to 773.65, 1,160.93 and 286.74 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.65 : 1,160.93 = 286.74 : x
  2. Step 2: Convert to fraction form
    773.65/1,160.93 = 286.74/x
  3. Step 3: Cross multiply
    773.65x = 1,160.93 × 286.74
  4. Step 4: Simplify right side
    773.65x = 332,885.79
  5. Step 5: Solve for x
    x = 332,885.79/773.65
  6. Step 6: Final answer
    x = 430.28

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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.