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Finding the Fourth Proportional to 879.64, 1,319.82 and 469.24

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Solution

The fourth proportional to 879.64, 1,319.82 and 469.24 is: 704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.64 : 1,319.82 = 469.24 : x
  2. Step 2: Convert to fraction form
    879.64/1,319.82 = 469.24/x
  3. Step 3: Cross multiply
    879.64x = 1,319.82 × 469.24
  4. Step 4: Simplify right side
    879.64x = 619,312.34
  5. Step 5: Solve for x
    x = 619,312.34/879.64
  6. Step 6: Final answer
    x = 704.05

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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.