Home / 1,264.16-1,896.07-442.36

Finding the Fourth Proportional to 1,264.16, 1,896.07 and 442.36

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Solution

The fourth proportional to 1,264.16, 1,896.07 and 442.36 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.16 : 1,896.07 = 442.36 : x
  2. Step 2: Convert to fraction form
    1,264.16/1,896.07 = 442.36/x
  3. Step 3: Cross multiply
    1,264.16x = 1,896.07 × 442.36
  4. Step 4: Simplify right side
    1,264.16x = 838,733.83
  5. Step 5: Solve for x
    x = 838,733.83/1,264.16
  6. Step 6: Final answer
    x = 663.47

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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.