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Finding the Fourth Proportional to 879.90, 1,214.18 and 569.40

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Solution

The fourth proportional to 879.90, 1,214.18 and 569.40 is: 785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.90 : 1,214.18 = 569.40 : x
  2. Step 2: Convert to fraction form
    879.90/1,214.18 = 569.40/x
  3. Step 3: Cross multiply
    879.90x = 1,214.18 × 569.40
  4. Step 4: Simplify right side
    879.90x = 691,354.09
  5. Step 5: Solve for x
    x = 691,354.09/879.90
  6. Step 6: Final answer
    x = 785.72

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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.