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Finding the Fourth Proportional to 879.64, 1,214.40 and 584.80

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Solution

The fourth proportional to 879.64, 1,214.40 and 584.80 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.64 : 1,214.40 = 584.80 : x
  2. Step 2: Convert to fraction form
    879.64/1,214.40 = 584.80/x
  3. Step 3: Cross multiply
    879.64x = 1,214.40 × 584.80
  4. Step 4: Simplify right side
    879.64x = 710,181.12
  5. Step 5: Solve for x
    x = 710,181.12/879.64
  6. Step 6: Final answer
    x = 807.35

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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.