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Finding the Fourth Proportional to 556.68, 833.94 and 534

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Solution

The fourth proportional to 556.68, 833.94 and 534 is: 799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.68 : 833.94 = 534 : x
  2. Step 2: Convert to fraction form
    556.68/833.94 = 534/x
  3. Step 3: Cross multiply
    556.68x = 833.94 × 534
  4. Step 4: Simplify right side
    556.68x = 445,323.96
  5. Step 5: Solve for x
    x = 445,323.96/556.68
  6. Step 6: Final answer
    x = 799.96

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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.