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Finding the Fourth Proportional to 1,238.50, 1,709.13 and 714.53

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Solution

The fourth proportional to 1,238.50, 1,709.13 and 714.53 is: 986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.50 : 1,709.13 = 714.53 : x
  2. Step 2: Convert to fraction form
    1,238.50/1,709.13 = 714.53/x
  3. Step 3: Cross multiply
    1,238.50x = 1,709.13 × 714.53
  4. Step 4: Simplify right side
    1,238.50x = 1,221,224.66
  5. Step 5: Solve for x
    x = 1,221,224.66/1,238.50
  6. Step 6: Final answer
    x = 986.05

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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.