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Finding the Fourth Proportional to 913, 1,259.16 and 563.08

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Solution

The fourth proportional to 913, 1,259.16 and 563.08 is: 776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    913 : 1,259.16 = 563.08 : x
  2. Step 2: Convert to fraction form
    913/1,259.16 = 563.08/x
  3. Step 3: Cross multiply
    913x = 1,259.16 × 563.08
  4. Step 4: Simplify right side
    913x = 709,007.81
  5. Step 5: Solve for x
    x = 709,007.81/913
  6. Step 6: Final answer
    x = 776.57

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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.