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Finding the Fourth Proportional to 701.88, 1,051.56 and 564.99

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Solution

The fourth proportional to 701.88, 1,051.56 and 564.99 is: 846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.88 : 1,051.56 = 564.99 : x
  2. Step 2: Convert to fraction form
    701.88/1,051.56 = 564.99/x
  3. Step 3: Cross multiply
    701.88x = 1,051.56 × 564.99
  4. Step 4: Simplify right side
    701.88x = 594,120.88
  5. Step 5: Solve for x
    x = 594,120.88/701.88
  6. Step 6: Final answer
    x = 846.47

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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.