Home / 1,354.14-2,029.86-476.10

Finding the Fourth Proportional to 1,354.14, 2,029.86 and 476.10

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Solution

The fourth proportional to 1,354.14, 2,029.86 and 476.10 is: 713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.14 : 2,029.86 = 476.10 : x
  2. Step 2: Convert to fraction form
    1,354.14/2,029.86 = 476.10/x
  3. Step 3: Cross multiply
    1,354.14x = 2,029.86 × 476.10
  4. Step 4: Simplify right side
    1,354.14x = 966,416.35
  5. Step 5: Solve for x
    x = 966,416.35/1,354.14
  6. Step 6: Final answer
    x = 713.68

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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.