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Finding the Fourth Proportional to 1,070.73, 1,605.06 and 522.62

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Solution

The fourth proportional to 1,070.73, 1,605.06 and 522.62 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.73 : 1,605.06 = 522.62 : x
  2. Step 2: Convert to fraction form
    1,070.73/1,605.06 = 522.62/x
  3. Step 3: Cross multiply
    1,070.73x = 1,605.06 × 522.62
  4. Step 4: Simplify right side
    1,070.73x = 838,836.46
  5. Step 5: Solve for x
    x = 838,836.46/1,070.73
  6. Step 6: Final answer
    x = 783.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.