Home / 1,465.13-2,021.77-835.76

Finding the Fourth Proportional to 1,465.13, 2,021.77 and 835.76

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Solution

The fourth proportional to 1,465.13, 2,021.77 and 835.76 is: 1,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.13 : 2,021.77 = 835.76 : x
  2. Step 2: Convert to fraction form
    1,465.13/2,021.77 = 835.76/x
  3. Step 3: Cross multiply
    1,465.13x = 2,021.77 × 835.76
  4. Step 4: Simplify right side
    1,465.13x = 1,689,714.50
  5. Step 5: Solve for x
    x = 1,689,714.50/1,465.13
  6. Step 6: Final answer
    x = 1,153.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.