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Finding the Fourth Proportional to 1,317.92, 1,977.86 and 624.59

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Solution

The fourth proportional to 1,317.92, 1,977.86 and 624.59 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.92 : 1,977.86 = 624.59 : x
  2. Step 2: Convert to fraction form
    1,317.92/1,977.86 = 624.59/x
  3. Step 3: Cross multiply
    1,317.92x = 1,977.86 × 624.59
  4. Step 4: Simplify right side
    1,317.92x = 1,235,348.45
  5. Step 5: Solve for x
    x = 1,235,348.45/1,317.92
  6. Step 6: Final answer
    x = 937.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.