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Finding the Fourth Proportional to 522.84, 783.60 and 509.21

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Solution

The fourth proportional to 522.84, 783.60 and 509.21 is: 763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 783.60 = 509.21 : x
  2. Step 2: Convert to fraction form
    522.84/783.60 = 509.21/x
  3. Step 3: Cross multiply
    522.84x = 783.60 × 509.21
  4. Step 4: Simplify right side
    522.84x = 399,019.43
  5. Step 5: Solve for x
    x = 399,019.43/522.84
  6. Step 6: Final answer
    x = 763.18

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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.