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Finding the Fourth Proportional to 911.04, 1,256.68 and 561.64

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Solution

The fourth proportional to 911.04, 1,256.68 and 561.64 is: 774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.04 : 1,256.68 = 561.64 : x
  2. Step 2: Convert to fraction form
    911.04/1,256.68 = 561.64/x
  3. Step 3: Cross multiply
    911.04x = 1,256.68 × 561.64
  4. Step 4: Simplify right side
    911.04x = 705,801.76
  5. Step 5: Solve for x
    x = 705,801.76/911.04
  6. Step 6: Final answer
    x = 774.72

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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.