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Finding the Fourth Proportional to 1,319.65, 1,980.15 and 589.05

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Solution

The fourth proportional to 1,319.65, 1,980.15 and 589.05 is: 883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.65 : 1,980.15 = 589.05 : x
  2. Step 2: Convert to fraction form
    1,319.65/1,980.15 = 589.05/x
  3. Step 3: Cross multiply
    1,319.65x = 1,980.15 × 589.05
  4. Step 4: Simplify right side
    1,319.65x = 1,166,407.36
  5. Step 5: Solve for x
    x = 1,166,407.36/1,319.65
  6. Step 6: Final answer
    x = 883.88

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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.