Home / 1,126.40-1,689.86-433.07

Finding the Fourth Proportional to 1,126.40, 1,689.86 and 433.07

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Solution

The fourth proportional to 1,126.40, 1,689.86 and 433.07 is: 649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.40 : 1,689.86 = 433.07 : x
  2. Step 2: Convert to fraction form
    1,126.40/1,689.86 = 433.07/x
  3. Step 3: Cross multiply
    1,126.40x = 1,689.86 × 433.07
  4. Step 4: Simplify right side
    1,126.40x = 731,817.06
  5. Step 5: Solve for x
    x = 731,817.06/1,126.40
  6. Step 6: Final answer
    x = 649.70

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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.