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Finding the Fourth Proportional to 714.34, 1,071.14 and 422.08

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Solution

The fourth proportional to 714.34, 1,071.14 and 422.08 is: 632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.34 : 1,071.14 = 422.08 : x
  2. Step 2: Convert to fraction form
    714.34/1,071.14 = 422.08/x
  3. Step 3: Cross multiply
    714.34x = 1,071.14 × 422.08
  4. Step 4: Simplify right side
    714.34x = 452,106.77
  5. Step 5: Solve for x
    x = 452,106.77/714.34
  6. Step 6: Final answer
    x = 632.90

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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.