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Finding the Fourth Proportional to 1,110.03, 1,671.20 and 980.77

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Solution

The fourth proportional to 1,110.03, 1,671.20 and 980.77 is: 1,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.03 : 1,671.20 = 980.77 : x
  2. Step 2: Convert to fraction form
    1,110.03/1,671.20 = 980.77/x
  3. Step 3: Cross multiply
    1,110.03x = 1,671.20 × 980.77
  4. Step 4: Simplify right side
    1,110.03x = 1,639,062.82
  5. Step 5: Solve for x
    x = 1,639,062.82/1,110.03
  6. Step 6: Final answer
    x = 1,476.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.