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Finding the Fourth Proportional to 1,238.14, 1,708.45 and 714.07

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Solution

The fourth proportional to 1,238.14, 1,708.45 and 714.07 is: 985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.14 : 1,708.45 = 714.07 : x
  2. Step 2: Convert to fraction form
    1,238.14/1,708.45 = 714.07/x
  3. Step 3: Cross multiply
    1,238.14x = 1,708.45 × 714.07
  4. Step 4: Simplify right side
    1,238.14x = 1,219,952.89
  5. Step 5: Solve for x
    x = 1,219,952.89/1,238.14
  6. Step 6: Final answer
    x = 985.31

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1.5x scale

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.