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Finding the Fourth Proportional to 700.48, 1,047.93 and 563.77

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Solution

The fourth proportional to 700.48, 1,047.93 and 563.77 is: 843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.48 : 1,047.93 = 563.77 : x
  2. Step 2: Convert to fraction form
    700.48/1,047.93 = 563.77/x
  3. Step 3: Cross multiply
    700.48x = 1,047.93 × 563.77
  4. Step 4: Simplify right side
    700.48x = 590,791.50
  5. Step 5: Solve for x
    x = 590,791.50/700.48
  6. Step 6: Final answer
    x = 843.41

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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.