Home / 1,403.42-2,105.16-429.51

Finding the Fourth Proportional to 1,403.42, 2,105.16 and 429.51

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Solution

The fourth proportional to 1,403.42, 2,105.16 and 429.51 is: 644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.42 : 2,105.16 = 429.51 : x
  2. Step 2: Convert to fraction form
    1,403.42/2,105.16 = 429.51/x
  3. Step 3: Cross multiply
    1,403.42x = 2,105.16 × 429.51
  4. Step 4: Simplify right side
    1,403.42x = 904,187.27
  5. Step 5: Solve for x
    x = 904,187.27/1,403.42
  6. Step 6: Final answer
    x = 644.28

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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.