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Finding the Fourth Proportional to 708.74, 1,062.90 and 554.96

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Solution

The fourth proportional to 708.74, 1,062.90 and 554.96 is: 832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.74 : 1,062.90 = 554.96 : x
  2. Step 2: Convert to fraction form
    708.74/1,062.90 = 554.96/x
  3. Step 3: Cross multiply
    708.74x = 1,062.90 × 554.96
  4. Step 4: Simplify right side
    708.74x = 589,866.98
  5. Step 5: Solve for x
    x = 589,866.98/708.74
  6. Step 6: Final answer
    x = 832.28

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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.