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Finding the Fourth Proportional to 913, 1,259.94 and 563.98

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Solution

The fourth proportional to 913, 1,259.94 and 563.98 is: 778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    913 : 1,259.94 = 563.98 : x
  2. Step 2: Convert to fraction form
    913/1,259.94 = 563.98/x
  3. Step 3: Cross multiply
    913x = 1,259.94 × 563.98
  4. Step 4: Simplify right side
    913x = 710,580.96
  5. Step 5: Solve for x
    x = 710,580.96/913
  6. Step 6: Final answer
    x = 778.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.