Home / 1,296.12-1,943.85-430.32

Finding the Fourth Proportional to 1,296.12, 1,943.85 and 430.32

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Solution

The fourth proportional to 1,296.12, 1,943.85 and 430.32 is: 645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.12 : 1,943.85 = 430.32 : x
  2. Step 2: Convert to fraction form
    1,296.12/1,943.85 = 430.32/x
  3. Step 3: Cross multiply
    1,296.12x = 1,943.85 × 430.32
  4. Step 4: Simplify right side
    1,296.12x = 836,477.53
  5. Step 5: Solve for x
    x = 836,477.53/1,296.12
  6. Step 6: Final answer
    x = 645.37

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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.