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Finding the Fourth Proportional to 824.94, 1,237.50 and 362.52

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Solution

The fourth proportional to 824.94, 1,237.50 and 362.52 is: 543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.94 : 1,237.50 = 362.52 : x
  2. Step 2: Convert to fraction form
    824.94/1,237.50 = 362.52/x
  3. Step 3: Cross multiply
    824.94x = 1,237.50 × 362.52
  4. Step 4: Simplify right side
    824.94x = 448,618.50
  5. Step 5: Solve for x
    x = 448,618.50/824.94
  6. Step 6: Final answer
    x = 543.82

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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.