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Finding the Fourth Proportional to 707.82, 1,061.76 and 433.74

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Solution

The fourth proportional to 707.82, 1,061.76 and 433.74 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.82 : 1,061.76 = 433.74 : x
  2. Step 2: Convert to fraction form
    707.82/1,061.76 = 433.74/x
  3. Step 3: Cross multiply
    707.82x = 1,061.76 × 433.74
  4. Step 4: Simplify right side
    707.82x = 460,527.78
  5. Step 5: Solve for x
    x = 460,527.78/707.82
  6. Step 6: Final answer
    x = 650.63

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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.