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Finding the Fourth Proportional to 1,220.48, 1,829.76 and 536

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Solution

The fourth proportional to 1,220.48, 1,829.76 and 536 is: 803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.48 : 1,829.76 = 536 : x
  2. Step 2: Convert to fraction form
    1,220.48/1,829.76 = 536/x
  3. Step 3: Cross multiply
    1,220.48x = 1,829.76 × 536
  4. Step 4: Simplify right side
    1,220.48x = 980,751.36
  5. Step 5: Solve for x
    x = 980,751.36/1,220.48
  6. Step 6: Final answer
    x = 803.58

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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.