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Finding the Fourth Proportional to 1,070.48, 1,605.70 and 330.10

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Solution

The fourth proportional to 1,070.48, 1,605.70 and 330.10 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.48 : 1,605.70 = 330.10 : x
  2. Step 2: Convert to fraction form
    1,070.48/1,605.70 = 330.10/x
  3. Step 3: Cross multiply
    1,070.48x = 1,605.70 × 330.10
  4. Step 4: Simplify right side
    1,070.48x = 530,041.57
  5. Step 5: Solve for x
    x = 530,041.57/1,070.48
  6. Step 6: Final answer
    x = 495.14

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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.