Home / 1,264.20-1,895.84-442.24

Finding the Fourth Proportional to 1,264.20, 1,895.84 and 442.24

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Solution

The fourth proportional to 1,264.20, 1,895.84 and 442.24 is: 663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.20 : 1,895.84 = 442.24 : x
  2. Step 2: Convert to fraction form
    1,264.20/1,895.84 = 442.24/x
  3. Step 3: Cross multiply
    1,264.20x = 1,895.84 × 442.24
  4. Step 4: Simplify right side
    1,264.20x = 838,416.28
  5. Step 5: Solve for x
    x = 838,416.28/1,264.20
  6. Step 6: Final answer
    x = 663.20

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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.