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Finding the Fourth Proportional to 1,100.29, 1,646.70 and 1,070.67

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Solution

The fourth proportional to 1,100.29, 1,646.70 and 1,070.67 is: 1,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.29 : 1,646.70 = 1,070.67 : x
  2. Step 2: Convert to fraction form
    1,100.29/1,646.70 = 1,070.67/x
  3. Step 3: Cross multiply
    1,100.29x = 1,646.70 × 1,070.67
  4. Step 4: Simplify right side
    1,100.29x = 1,763,072.29
  5. Step 5: Solve for x
    x = 1,763,072.29/1,100.29
  6. Step 6: Final answer
    x = 1,602.38

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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.