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Finding the Fourth Proportional to 847.95, 1,271.01 and 522.95

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Solution

The fourth proportional to 847.95, 1,271.01 and 522.95 is: 783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.95 : 1,271.01 = 522.95 : x
  2. Step 2: Convert to fraction form
    847.95/1,271.01 = 522.95/x
  3. Step 3: Cross multiply
    847.95x = 1,271.01 × 522.95
  4. Step 4: Simplify right side
    847.95x = 664,668.32
  5. Step 5: Solve for x
    x = 664,668.32/847.95
  6. Step 6: Final answer
    x = 783.85

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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.