Home / 1,285.47-1,929.30-506.01

Finding the Fourth Proportional to 1,285.47, 1,929.30 and 506.01

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Solution

The fourth proportional to 1,285.47, 1,929.30 and 506.01 is: 759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.47 : 1,929.30 = 506.01 : x
  2. Step 2: Convert to fraction form
    1,285.47/1,929.30 = 506.01/x
  3. Step 3: Cross multiply
    1,285.47x = 1,929.30 × 506.01
  4. Step 4: Simplify right side
    1,285.47x = 976,245.09
  5. Step 5: Solve for x
    x = 976,245.09/1,285.47
  6. Step 6: Final answer
    x = 759.45

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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.