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Finding the Fourth Proportional to 701.34, 1,052 and 414.60

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Solution

The fourth proportional to 701.34, 1,052 and 414.60 is: 621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.34 : 1,052 = 414.60 : x
  2. Step 2: Convert to fraction form
    701.34/1,052 = 414.60/x
  3. Step 3: Cross multiply
    701.34x = 1,052 × 414.60
  4. Step 4: Simplify right side
    701.34x = 436,159.20
  5. Step 5: Solve for x
    x = 436,159.20/701.34
  6. Step 6: Final answer
    x = 621.89

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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.