Home / 1,026.24-1,415.85-584.03

Finding the Fourth Proportional to 1,026.24, 1,415.85 and 584.03

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Solution

The fourth proportional to 1,026.24, 1,415.85 and 584.03 is: 805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.24 : 1,415.85 = 584.03 : x
  2. Step 2: Convert to fraction form
    1,026.24/1,415.85 = 584.03/x
  3. Step 3: Cross multiply
    1,026.24x = 1,415.85 × 584.03
  4. Step 4: Simplify right side
    1,026.24x = 826,897.19
  5. Step 5: Solve for x
    x = 826,897.19/1,026.24
  6. Step 6: Final answer
    x = 805.76

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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.