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Finding the Fourth Proportional to 1,228.53, 1,841.75 and 534.68

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Solution

The fourth proportional to 1,228.53, 1,841.75 and 534.68 is: 801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.53 : 1,841.75 = 534.68 : x
  2. Step 2: Convert to fraction form
    1,228.53/1,841.75 = 534.68/x
  3. Step 3: Cross multiply
    1,228.53x = 1,841.75 × 534.68
  4. Step 4: Simplify right side
    1,228.53x = 984,746.89
  5. Step 5: Solve for x
    x = 984,746.89/1,228.53
  6. Step 6: Final answer
    x = 801.57

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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.