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Finding the Fourth Proportional to 591.05, 885.88 and 522.70

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Solution

The fourth proportional to 591.05, 885.88 and 522.70 is: 783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.05 : 885.88 = 522.70 : x
  2. Step 2: Convert to fraction form
    591.05/885.88 = 522.70/x
  3. Step 3: Cross multiply
    591.05x = 885.88 × 522.70
  4. Step 4: Simplify right side
    591.05x = 463,045.95
  5. Step 5: Solve for x
    x = 463,045.95/591.05
  6. Step 6: Final answer
    x = 783.44

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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.