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Finding the Fourth Proportional to 707.68, 1,059.66 and 433.38

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Solution

The fourth proportional to 707.68, 1,059.66 and 433.38 is: 648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.68 : 1,059.66 = 433.38 : x
  2. Step 2: Convert to fraction form
    707.68/1,059.66 = 433.38/x
  3. Step 3: Cross multiply
    707.68x = 1,059.66 × 433.38
  4. Step 4: Simplify right side
    707.68x = 459,235.45
  5. Step 5: Solve for x
    x = 459,235.45/707.68
  6. Step 6: Final answer
    x = 648.93

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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.