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Finding the Fourth Proportional to 879.64, 1,214.16 and 521.06

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Solution

The fourth proportional to 879.64, 1,214.16 and 521.06 is: 719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.64 : 1,214.16 = 521.06 : x
  2. Step 2: Convert to fraction form
    879.64/1,214.16 = 521.06/x
  3. Step 3: Cross multiply
    879.64x = 1,214.16 × 521.06
  4. Step 4: Simplify right side
    879.64x = 632,650.21
  5. Step 5: Solve for x
    x = 632,650.21/879.64
  6. Step 6: Final answer
    x = 719.21

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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.