Home / 1,118.10-1,542.70-646.14

Finding the Fourth Proportional to 1,118.10, 1,542.70 and 646.14

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Solution

The fourth proportional to 1,118.10, 1,542.70 and 646.14 is: 891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.10 : 1,542.70 = 646.14 : x
  2. Step 2: Convert to fraction form
    1,118.10/1,542.70 = 646.14/x
  3. Step 3: Cross multiply
    1,118.10x = 1,542.70 × 646.14
  4. Step 4: Simplify right side
    1,118.10x = 996,800.18
  5. Step 5: Solve for x
    x = 996,800.18/1,118.10
  6. Step 6: Final answer
    x = 891.51

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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.