Home / 1,046.20-1,569.26-429.72

Finding the Fourth Proportional to 1,046.20, 1,569.26 and 429.72

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Solution

The fourth proportional to 1,046.20, 1,569.26 and 429.72 is: 644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.20 : 1,569.26 = 429.72 : x
  2. Step 2: Convert to fraction form
    1,046.20/1,569.26 = 429.72/x
  3. Step 3: Cross multiply
    1,046.20x = 1,569.26 × 429.72
  4. Step 4: Simplify right side
    1,046.20x = 674,342.41
  5. Step 5: Solve for x
    x = 674,342.41/1,046.20
  6. Step 6: Final answer
    x = 644.56

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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.