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Finding the Fourth Proportional to 1,410.13, 2,115.80 and 833

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Solution

The fourth proportional to 1,410.13, 2,115.80 and 833 is: 1,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.13 : 2,115.80 = 833 : x
  2. Step 2: Convert to fraction form
    1,410.13/2,115.80 = 833/x
  3. Step 3: Cross multiply
    1,410.13x = 2,115.80 × 833
  4. Step 4: Simplify right side
    1,410.13x = 1,762,457.24
  5. Step 5: Solve for x
    x = 1,762,457.24/1,410.13
  6. Step 6: Final answer
    x = 1,249.86

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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.