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Finding the Fourth Proportional to 707.54, 1,061.37 and 433.04

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Solution

The fourth proportional to 707.54, 1,061.37 and 433.04 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.54 : 1,061.37 = 433.04 : x
  2. Step 2: Convert to fraction form
    707.54/1,061.37 = 433.04/x
  3. Step 3: Cross multiply
    707.54x = 1,061.37 × 433.04
  4. Step 4: Simplify right side
    707.54x = 459,610.36
  5. Step 5: Solve for x
    x = 459,610.36/707.54
  6. Step 6: Final answer
    x = 649.59

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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.