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Finding the Fourth Proportional to 879.59, 1,319.70 and 588.26

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Solution

The fourth proportional to 879.59, 1,319.70 and 588.26 is: 882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.59 : 1,319.70 = 588.26 : x
  2. Step 2: Convert to fraction form
    879.59/1,319.70 = 588.26/x
  3. Step 3: Cross multiply
    879.59x = 1,319.70 × 588.26
  4. Step 4: Simplify right side
    879.59x = 776,330.29
  5. Step 5: Solve for x
    x = 776,330.29/879.59
  6. Step 6: Final answer
    x = 882.60

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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.