Home / 1,164.04-1,746.38-342.29

Finding the Fourth Proportional to 1,164.04, 1,746.38 and 342.29

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Solution

The fourth proportional to 1,164.04, 1,746.38 and 342.29 is: 513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.04 : 1,746.38 = 342.29 : x
  2. Step 2: Convert to fraction form
    1,164.04/1,746.38 = 342.29/x
  3. Step 3: Cross multiply
    1,164.04x = 1,746.38 × 342.29
  4. Step 4: Simplify right side
    1,164.04x = 597,773.63
  5. Step 5: Solve for x
    x = 597,773.63/1,164.04
  6. Step 6: Final answer
    x = 513.53

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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.