Home / 1,407.36-2,110.70-433.46

Finding the Fourth Proportional to 1,407.36, 2,110.70 and 433.46

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Solution

The fourth proportional to 1,407.36, 2,110.70 and 433.46 is: 650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.36 : 2,110.70 = 433.46 : x
  2. Step 2: Convert to fraction form
    1,407.36/2,110.70 = 433.46/x
  3. Step 3: Cross multiply
    1,407.36x = 2,110.70 × 433.46
  4. Step 4: Simplify right side
    1,407.36x = 914,904.02
  5. Step 5: Solve for x
    x = 914,904.02/1,407.36
  6. Step 6: Final answer
    x = 650.09

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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.