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Finding the Fourth Proportional to 1,070.40, 1,605.70 and 330.18

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Solution

The fourth proportional to 1,070.40, 1,605.70 and 330.18 is: 495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.40 : 1,605.70 = 330.18 : x
  2. Step 2: Convert to fraction form
    1,070.40/1,605.70 = 330.18/x
  3. Step 3: Cross multiply
    1,070.40x = 1,605.70 × 330.18
  4. Step 4: Simplify right side
    1,070.40x = 530,170.03
  5. Step 5: Solve for x
    x = 530,170.03/1,070.40
  6. Step 6: Final answer
    x = 495.30

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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.