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Finding the Fourth Proportional to 524.84, 784.29 and 512.68

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Solution

The fourth proportional to 524.84, 784.29 and 512.68 is: 766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.84 : 784.29 = 512.68 : x
  2. Step 2: Convert to fraction form
    524.84/784.29 = 512.68/x
  3. Step 3: Cross multiply
    524.84x = 784.29 × 512.68
  4. Step 4: Simplify right side
    524.84x = 402,089.80
  5. Step 5: Solve for x
    x = 402,089.80/524.84
  6. Step 6: Final answer
    x = 766.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.