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Finding the Fourth Proportional to 714.02, 1,069.43 and 405.68

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Solution

The fourth proportional to 714.02, 1,069.43 and 405.68 is: 607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 1,069.43 = 405.68 : x
  2. Step 2: Convert to fraction form
    714.02/1,069.43 = 405.68/x
  3. Step 3: Cross multiply
    714.02x = 1,069.43 × 405.68
  4. Step 4: Simplify right side
    714.02x = 433,838.99
  5. Step 5: Solve for x
    x = 433,838.99/714.02
  6. Step 6: Final answer
    x = 607.60

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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.