Home / 1,232.34-1,848.72-410.53

Finding the Fourth Proportional to 1,232.34, 1,848.72 and 410.53

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Solution

The fourth proportional to 1,232.34, 1,848.72 and 410.53 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.34 : 1,848.72 = 410.53 : x
  2. Step 2: Convert to fraction form
    1,232.34/1,848.72 = 410.53/x
  3. Step 3: Cross multiply
    1,232.34x = 1,848.72 × 410.53
  4. Step 4: Simplify right side
    1,232.34x = 758,955.02
  5. Step 5: Solve for x
    x = 758,955.02/1,232.34
  6. Step 6: Final answer
    x = 615.86

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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.