Home / 1,024.03-1,535.32-529.46

Finding the Fourth Proportional to 1,024.03, 1,535.32 and 529.46

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Solution

The fourth proportional to 1,024.03, 1,535.32 and 529.46 is: 793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.03 : 1,535.32 = 529.46 : x
  2. Step 2: Convert to fraction form
    1,024.03/1,535.32 = 529.46/x
  3. Step 3: Cross multiply
    1,024.03x = 1,535.32 × 529.46
  4. Step 4: Simplify right side
    1,024.03x = 812,890.53
  5. Step 5: Solve for x
    x = 812,890.53/1,024.03
  6. Step 6: Final answer
    x = 793.82

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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.