Home / 1,217.77-1,826.76-524.46

Finding the Fourth Proportional to 1,217.77, 1,826.76 and 524.46

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Solution

The fourth proportional to 1,217.77, 1,826.76 and 524.46 is: 786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.77 : 1,826.76 = 524.46 : x
  2. Step 2: Convert to fraction form
    1,217.77/1,826.76 = 524.46/x
  3. Step 3: Cross multiply
    1,217.77x = 1,826.76 × 524.46
  4. Step 4: Simplify right side
    1,217.77x = 958,062.55
  5. Step 5: Solve for x
    x = 958,062.55/1,217.77
  6. Step 6: Final answer
    x = 786.74

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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.