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Finding the Fourth Proportional to 707.46, 1,060.38 and 433.14

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Solution

The fourth proportional to 707.46, 1,060.38 and 433.14 is: 649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.46 : 1,060.38 = 433.14 : x
  2. Step 2: Convert to fraction form
    707.46/1,060.38 = 433.14/x
  3. Step 3: Cross multiply
    707.46x = 1,060.38 × 433.14
  4. Step 4: Simplify right side
    707.46x = 459,292.99
  5. Step 5: Solve for x
    x = 459,292.99/707.46
  6. Step 6: Final answer
    x = 649.21

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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.