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Finding the Fourth Proportional to 714.04, 1,071.50 and 281.12

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Solution

The fourth proportional to 714.04, 1,071.50 and 281.12 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.04 : 1,071.50 = 281.12 : x
  2. Step 2: Convert to fraction form
    714.04/1,071.50 = 281.12/x
  3. Step 3: Cross multiply
    714.04x = 1,071.50 × 281.12
  4. Step 4: Simplify right side
    714.04x = 301,220.08
  5. Step 5: Solve for x
    x = 301,220.08/714.04
  6. Step 6: Final answer
    x = 421.85

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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.