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Finding the Fourth Proportional to 714.45, 1,070.16 and 466.78

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Solution

The fourth proportional to 714.45, 1,070.16 and 466.78 is: 699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.45 : 1,070.16 = 466.78 : x
  2. Step 2: Convert to fraction form
    714.45/1,070.16 = 466.78/x
  3. Step 3: Cross multiply
    714.45x = 1,070.16 × 466.78
  4. Step 4: Simplify right side
    714.45x = 499,529.28
  5. Step 5: Solve for x
    x = 499,529.28/714.45
  6. Step 6: Final answer
    x = 699.18

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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.