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Finding the Fourth Proportional to 707.38, 1,061.02 and 433.51

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Solution

The fourth proportional to 707.38, 1,061.02 and 433.51 is: 650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.38 : 1,061.02 = 433.51 : x
  2. Step 2: Convert to fraction form
    707.38/1,061.02 = 433.51/x
  3. Step 3: Cross multiply
    707.38x = 1,061.02 × 433.51
  4. Step 4: Simplify right side
    707.38x = 459,960.67
  5. Step 5: Solve for x
    x = 459,960.67/707.38
  6. Step 6: Final answer
    x = 650.23

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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.