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Finding the Fourth Proportional to 1,117.16, 1,671.60 and 676.76

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Solution

The fourth proportional to 1,117.16, 1,671.60 and 676.76 is: 1,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.16 : 1,671.60 = 676.76 : x
  2. Step 2: Convert to fraction form
    1,117.16/1,671.60 = 676.76/x
  3. Step 3: Cross multiply
    1,117.16x = 1,671.60 × 676.76
  4. Step 4: Simplify right side
    1,117.16x = 1,131,272.02
  5. Step 5: Solve for x
    x = 1,131,272.02/1,117.16
  6. Step 6: Final answer
    x = 1,012.63

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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.