Home / 1,022.85-1,535.40-535.77

Finding the Fourth Proportional to 1,022.85, 1,535.40 and 535.77

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Solution

The fourth proportional to 1,022.85, 1,535.40 and 535.77 is: 804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.85 : 1,535.40 = 535.77 : x
  2. Step 2: Convert to fraction form
    1,022.85/1,535.40 = 535.77/x
  3. Step 3: Cross multiply
    1,022.85x = 1,535.40 × 535.77
  4. Step 4: Simplify right side
    1,022.85x = 822,621.26
  5. Step 5: Solve for x
    x = 822,621.26/1,022.85
  6. Step 6: Final answer
    x = 804.24

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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.