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Finding the Fourth Proportional to 1,317.59, 1,975.95 and 439.90

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Solution

The fourth proportional to 1,317.59, 1,975.95 and 439.90 is: 659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.59 : 1,975.95 = 439.90 : x
  2. Step 2: Convert to fraction form
    1,317.59/1,975.95 = 439.90/x
  3. Step 3: Cross multiply
    1,317.59x = 1,975.95 × 439.90
  4. Step 4: Simplify right side
    1,317.59x = 869,220.41
  5. Step 5: Solve for x
    x = 869,220.41/1,317.59
  6. Step 6: Final answer
    x = 659.70

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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.