Home / 1,407.05-2,110.52-433.13

Finding the Fourth Proportional to 1,407.05, 2,110.52 and 433.13

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Solution

The fourth proportional to 1,407.05, 2,110.52 and 433.13 is: 649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.05 : 2,110.52 = 433.13 : x
  2. Step 2: Convert to fraction form
    1,407.05/2,110.52 = 433.13/x
  3. Step 3: Cross multiply
    1,407.05x = 2,110.52 × 433.13
  4. Step 4: Simplify right side
    1,407.05x = 914,120.06
  5. Step 5: Solve for x
    x = 914,120.06/1,407.05
  6. Step 6: Final answer
    x = 649.67

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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.