Home / 1,702.24-2,553.45-469.63

Finding the Fourth Proportional to 1,702.24, 2,553.45 and 469.63

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Solution

The fourth proportional to 1,702.24, 2,553.45 and 469.63 is: 704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.24 : 2,553.45 = 469.63 : x
  2. Step 2: Convert to fraction form
    1,702.24/2,553.45 = 469.63/x
  3. Step 3: Cross multiply
    1,702.24x = 2,553.45 × 469.63
  4. Step 4: Simplify right side
    1,702.24x = 1,199,162.78
  5. Step 5: Solve for x
    x = 1,199,162.78/1,702.24
  6. Step 6: Final answer
    x = 704.46

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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.