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Finding the Fourth Proportional to 1,212, 1,672.63 and 714.93

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Solution

The fourth proportional to 1,212, 1,672.63 and 714.93 is: 986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212 : 1,672.63 = 714.93 : x
  2. Step 2: Convert to fraction form
    1,212/1,672.63 = 714.93/x
  3. Step 3: Cross multiply
    1,212x = 1,672.63 × 714.93
  4. Step 4: Simplify right side
    1,212x = 1,195,811.58
  5. Step 5: Solve for x
    x = 1,195,811.58/1,212
  6. Step 6: Final answer
    x = 986.64

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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.