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Finding the Fourth Proportional to 1,245.37, 1,718.57 and 714.34

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Solution

The fourth proportional to 1,245.37, 1,718.57 and 714.34 is: 985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.37 : 1,718.57 = 714.34 : x
  2. Step 2: Convert to fraction form
    1,245.37/1,718.57 = 714.34/x
  3. Step 3: Cross multiply
    1,245.37x = 1,718.57 × 714.34
  4. Step 4: Simplify right side
    1,245.37x = 1,227,643.29
  5. Step 5: Solve for x
    x = 1,227,643.29/1,245.37
  6. Step 6: Final answer
    x = 985.77

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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.