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Finding the Fourth Proportional to 1,070.55, 1,605.96 and 522.27

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Solution

The fourth proportional to 1,070.55, 1,605.96 and 522.27 is: 783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.55 : 1,605.96 = 522.27 : x
  2. Step 2: Convert to fraction form
    1,070.55/1,605.96 = 522.27/x
  3. Step 3: Cross multiply
    1,070.55x = 1,605.96 × 522.27
  4. Step 4: Simplify right side
    1,070.55x = 838,744.73
  5. Step 5: Solve for x
    x = 838,744.73/1,070.55
  6. Step 6: Final answer
    x = 783.47

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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.