Home / 1,023.23-1,535.06-560.77

Finding the Fourth Proportional to 1,023.23, 1,535.06 and 560.77

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Solution

The fourth proportional to 1,023.23, 1,535.06 and 560.77 is: 841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.23 : 1,535.06 = 560.77 : x
  2. Step 2: Convert to fraction form
    1,023.23/1,535.06 = 560.77/x
  3. Step 3: Cross multiply
    1,023.23x = 1,535.06 × 560.77
  4. Step 4: Simplify right side
    1,023.23x = 860,813.16
  5. Step 5: Solve for x
    x = 860,813.16/1,023.23
  6. Step 6: Final answer
    x = 841.27

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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.