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Finding the Fourth Proportional to 708.74, 975.99 and 624.29

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Solution

The fourth proportional to 708.74, 975.99 and 624.29 is: 859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.74 : 975.99 = 624.29 : x
  2. Step 2: Convert to fraction form
    708.74/975.99 = 624.29/x
  3. Step 3: Cross multiply
    708.74x = 975.99 × 624.29
  4. Step 4: Simplify right side
    708.74x = 609,295.92
  5. Step 5: Solve for x
    x = 609,295.92/708.74
  6. Step 6: Final answer
    x = 859.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.