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Finding the Fourth Proportional to 1,117.46, 1,676.64 and 1,006.74

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Solution

The fourth proportional to 1,117.46, 1,676.64 and 1,006.74 is: 1,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.46 : 1,676.64 = 1,006.74 : x
  2. Step 2: Convert to fraction form
    1,117.46/1,676.64 = 1,006.74/x
  3. Step 3: Cross multiply
    1,117.46x = 1,676.64 × 1,006.74
  4. Step 4: Simplify right side
    1,117.46x = 1,687,940.55
  5. Step 5: Solve for x
    x = 1,687,940.55/1,117.46
  6. Step 6: Final answer
    x = 1,510.52

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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.