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Finding the Fourth Proportional to 537.84, 807.84 and 524.88

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Solution

The fourth proportional to 537.84, 807.84 and 524.88 is: 788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 807.84 = 524.88 : x
  2. Step 2: Convert to fraction form
    537.84/807.84 = 524.88/x
  3. Step 3: Cross multiply
    537.84x = 807.84 × 524.88
  4. Step 4: Simplify right side
    537.84x = 424,019.06
  5. Step 5: Solve for x
    x = 424,019.06/537.84
  6. Step 6: Final answer
    x = 788.37

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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.