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Finding the Fourth Proportional to 714.15, 1,071.20 and 194.24

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Solution

The fourth proportional to 714.15, 1,071.20 and 194.24 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.15 : 1,071.20 = 194.24 : x
  2. Step 2: Convert to fraction form
    714.15/1,071.20 = 194.24/x
  3. Step 3: Cross multiply
    714.15x = 1,071.20 × 194.24
  4. Step 4: Simplify right side
    714.15x = 208,065.02
  5. Step 5: Solve for x
    x = 208,065.02/714.15
  6. Step 6: Final answer
    x = 291.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.