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Finding the Fourth Proportional to 1,319.60, 1,979.62 and 589.14

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Solution

The fourth proportional to 1,319.60, 1,979.62 and 589.14 is: 883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.60 : 1,979.62 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,319.60/1,979.62 = 589.14/x
  3. Step 3: Cross multiply
    1,319.60x = 1,979.62 × 589.14
  4. Step 4: Simplify right side
    1,319.60x = 1,166,271.85
  5. Step 5: Solve for x
    x = 1,166,271.85/1,319.60
  6. Step 6: Final answer
    x = 883.81

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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.