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Finding the Fourth Proportional to 879.55, 1,214.80 and 584.31

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Solution

The fourth proportional to 879.55, 1,214.80 and 584.31 is: 807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.55 : 1,214.80 = 584.31 : x
  2. Step 2: Convert to fraction form
    879.55/1,214.80 = 584.31/x
  3. Step 3: Cross multiply
    879.55x = 1,214.80 × 584.31
  4. Step 4: Simplify right side
    879.55x = 709,813.71
  5. Step 5: Solve for x
    x = 709,813.71/879.55
  6. Step 6: Final answer
    x = 807.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.