Home / 1,126.19-1,689.31-304.46

Finding the Fourth Proportional to 1,126.19, 1,689.31 and 304.46

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Solution

The fourth proportional to 1,126.19, 1,689.31 and 304.46 is: 456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.19 : 1,689.31 = 304.46 : x
  2. Step 2: Convert to fraction form
    1,126.19/1,689.31 = 304.46/x
  3. Step 3: Cross multiply
    1,126.19x = 1,689.31 × 304.46
  4. Step 4: Simplify right side
    1,126.19x = 514,327.32
  5. Step 5: Solve for x
    x = 514,327.32/1,126.19
  6. Step 6: Final answer
    x = 456.70

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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.