Home / 1,082.13-1,623.57-432.51

Finding the Fourth Proportional to 1,082.13, 1,623.57 and 432.51

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Solution

The fourth proportional to 1,082.13, 1,623.57 and 432.51 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.13 : 1,623.57 = 432.51 : x
  2. Step 2: Convert to fraction form
    1,082.13/1,623.57 = 432.51/x
  3. Step 3: Cross multiply
    1,082.13x = 1,623.57 × 432.51
  4. Step 4: Simplify right side
    1,082.13x = 702,210.26
  5. Step 5: Solve for x
    x = 702,210.26/1,082.13
  6. Step 6: Final answer
    x = 648.91

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Double scale
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1.5x scale

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.