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Finding the Fourth Proportional to 707.40, 1,059.33 and 446.61

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Solution

The fourth proportional to 707.40, 1,059.33 and 446.61 is: 668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.40 : 1,059.33 = 446.61 : x
  2. Step 2: Convert to fraction form
    707.40/1,059.33 = 446.61/x
  3. Step 3: Cross multiply
    707.40x = 1,059.33 × 446.61
  4. Step 4: Simplify right side
    707.40x = 473,110.51
  5. Step 5: Solve for x
    x = 473,110.51/707.40
  6. Step 6: Final answer
    x = 668.80

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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.