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Finding the Fourth Proportional to 917.07, 1,265.72 and 563.19

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Solution

The fourth proportional to 917.07, 1,265.72 and 563.19 is: 777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.07 : 1,265.72 = 563.19 : x
  2. Step 2: Convert to fraction form
    917.07/1,265.72 = 563.19/x
  3. Step 3: Cross multiply
    917.07x = 1,265.72 × 563.19
  4. Step 4: Simplify right side
    917.07x = 712,838.03
  5. Step 5: Solve for x
    x = 712,838.03/917.07
  6. Step 6: Final answer
    x = 777.30

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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.