Home / 1,146.35-1,581.87-649.04

Finding the Fourth Proportional to 1,146.35, 1,581.87 and 649.04

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Solution

The fourth proportional to 1,146.35, 1,581.87 and 649.04 is: 895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.35 : 1,581.87 = 649.04 : x
  2. Step 2: Convert to fraction form
    1,146.35/1,581.87 = 649.04/x
  3. Step 3: Cross multiply
    1,146.35x = 1,581.87 × 649.04
  4. Step 4: Simplify right side
    1,146.35x = 1,026,689.00
  5. Step 5: Solve for x
    x = 1,026,689.00/1,146.35
  6. Step 6: Final answer
    x = 895.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.