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Finding the Fourth Proportional to 1,070.96, 1,605.30 and 997.15

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Solution

The fourth proportional to 1,070.96, 1,605.30 and 997.15 is: 1,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.96 : 1,605.30 = 997.15 : x
  2. Step 2: Convert to fraction form
    1,070.96/1,605.30 = 997.15/x
  3. Step 3: Cross multiply
    1,070.96x = 1,605.30 × 997.15
  4. Step 4: Simplify right side
    1,070.96x = 1,600,724.90
  5. Step 5: Solve for x
    x = 1,600,724.90/1,070.96
  6. Step 6: Final answer
    x = 1,494.66

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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.