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Finding the Fourth Proportional to 708.30, 1,059.71 and 476.08

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Solution

The fourth proportional to 708.30, 1,059.71 and 476.08 is: 712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.30 : 1,059.71 = 476.08 : x
  2. Step 2: Convert to fraction form
    708.30/1,059.71 = 476.08/x
  3. Step 3: Cross multiply
    708.30x = 1,059.71 × 476.08
  4. Step 4: Simplify right side
    708.30x = 504,506.74
  5. Step 5: Solve for x
    x = 504,506.74/708.30
  6. Step 6: Final answer
    x = 712.28

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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.