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Finding the Fourth Proportional to 1,238.06, 1,708.54 and 714.11

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Solution

The fourth proportional to 1,238.06, 1,708.54 and 714.11 is: 985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.06 : 1,708.54 = 714.11 : x
  2. Step 2: Convert to fraction form
    1,238.06/1,708.54 = 714.11/x
  3. Step 3: Cross multiply
    1,238.06x = 1,708.54 × 714.11
  4. Step 4: Simplify right side
    1,238.06x = 1,220,075.17
  5. Step 5: Solve for x
    x = 1,220,075.17/1,238.06
  6. Step 6: Final answer
    x = 985.47

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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.