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Finding the Fourth Proportional to 1,117.82, 1,543.07 and 675.64

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Solution

The fourth proportional to 1,117.82, 1,543.07 and 675.64 is: 932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.82 : 1,543.07 = 675.64 : x
  2. Step 2: Convert to fraction form
    1,117.82/1,543.07 = 675.64/x
  3. Step 3: Cross multiply
    1,117.82x = 1,543.07 × 675.64
  4. Step 4: Simplify right side
    1,117.82x = 1,042,559.63
  5. Step 5: Solve for x
    x = 1,042,559.63/1,117.82
  6. Step 6: Final answer
    x = 932.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.