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Finding the Fourth Proportional to 521.04, 782.64 and 512.40

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Solution

The fourth proportional to 521.04, 782.64 and 512.40 is: 769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.04 : 782.64 = 512.40 : x
  2. Step 2: Convert to fraction form
    521.04/782.64 = 512.40/x
  3. Step 3: Cross multiply
    521.04x = 782.64 × 512.40
  4. Step 4: Simplify right side
    521.04x = 401,024.74
  5. Step 5: Solve for x
    x = 401,024.74/521.04
  6. Step 6: Final answer
    x = 769.66

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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.