Home / 1,011.06-1,517.40-524.43

Finding the Fourth Proportional to 1,011.06, 1,517.40 and 524.43

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Solution

The fourth proportional to 1,011.06, 1,517.40 and 524.43 is: 787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.06 : 1,517.40 = 524.43 : x
  2. Step 2: Convert to fraction form
    1,011.06/1,517.40 = 524.43/x
  3. Step 3: Cross multiply
    1,011.06x = 1,517.40 × 524.43
  4. Step 4: Simplify right side
    1,011.06x = 795,770.08
  5. Step 5: Solve for x
    x = 795,770.08/1,011.06
  6. Step 6: Final answer
    x = 787.07

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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.