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Finding the Fourth Proportional to 714.02, 1,070.01 and 349.06

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Solution

The fourth proportional to 714.02, 1,070.01 and 349.06 is: 523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 1,070.01 = 349.06 : x
  2. Step 2: Convert to fraction form
    714.02/1,070.01 = 349.06/x
  3. Step 3: Cross multiply
    714.02x = 1,070.01 × 349.06
  4. Step 4: Simplify right side
    714.02x = 373,497.02
  5. Step 5: Solve for x
    x = 373,497.02/714.02
  6. Step 6: Final answer
    x = 523.09

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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.