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Finding the Fourth Proportional to 1,117.64, 1,686.47 and 1,072.69

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Solution

The fourth proportional to 1,117.64, 1,686.47 and 1,072.69 is: 1,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.64 : 1,686.47 = 1,072.69 : x
  2. Step 2: Convert to fraction form
    1,117.64/1,686.47 = 1,072.69/x
  3. Step 3: Cross multiply
    1,117.64x = 1,686.47 × 1,072.69
  4. Step 4: Simplify right side
    1,117.64x = 1,809,059.50
  5. Step 5: Solve for x
    x = 1,809,059.50/1,117.64
  6. Step 6: Final answer
    x = 1,618.64

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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.