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Finding the Fourth Proportional to 1,319.10, 1,978.81 and 588.59

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Solution

The fourth proportional to 1,319.10, 1,978.81 and 588.59 is: 882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.10 : 1,978.81 = 588.59 : x
  2. Step 2: Convert to fraction form
    1,319.10/1,978.81 = 588.59/x
  3. Step 3: Cross multiply
    1,319.10x = 1,978.81 × 588.59
  4. Step 4: Simplify right side
    1,319.10x = 1,164,707.78
  5. Step 5: Solve for x
    x = 1,164,707.78/1,319.10
  6. Step 6: Final answer
    x = 882.96

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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.