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Finding the Fourth Proportional to 1,238.14, 1,708.32 and 714.07

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Solution

The fourth proportional to 1,238.14, 1,708.32 and 714.07 is: 985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.14 : 1,708.32 = 714.07 : x
  2. Step 2: Convert to fraction form
    1,238.14/1,708.32 = 714.07/x
  3. Step 3: Cross multiply
    1,238.14x = 1,708.32 × 714.07
  4. Step 4: Simplify right side
    1,238.14x = 1,219,860.06
  5. Step 5: Solve for x
    x = 1,219,860.06/1,238.14
  6. Step 6: Final answer
    x = 985.24

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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.