Home / 1,297.02-1,945.73-431.13

Finding the Fourth Proportional to 1,297.02, 1,945.73 and 431.13

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Solution

The fourth proportional to 1,297.02, 1,945.73 and 431.13 is: 646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.02 : 1,945.73 = 431.13 : x
  2. Step 2: Convert to fraction form
    1,297.02/1,945.73 = 431.13/x
  3. Step 3: Cross multiply
    1,297.02x = 1,945.73 × 431.13
  4. Step 4: Simplify right side
    1,297.02x = 838,862.57
  5. Step 5: Solve for x
    x = 838,862.57/1,297.02
  6. Step 6: Final answer
    x = 646.76

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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.