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Finding the Fourth Proportional to 1,212.03, 1,672.62 and 714.60

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Solution

The fourth proportional to 1,212.03, 1,672.62 and 714.60 is: 986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.03 : 1,672.62 = 714.60 : x
  2. Step 2: Convert to fraction form
    1,212.03/1,672.62 = 714.60/x
  3. Step 3: Cross multiply
    1,212.03x = 1,672.62 × 714.60
  4. Step 4: Simplify right side
    1,212.03x = 1,195,254.25
  5. Step 5: Solve for x
    x = 1,195,254.25/1,212.03
  6. Step 6: Final answer
    x = 986.16

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Why These Related Problems?

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