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Finding the Fourth Proportional to 919.08, 1,267.74 and 564.84

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Solution

The fourth proportional to 919.08, 1,267.74 and 564.84 is: 779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.08 : 1,267.74 = 564.84 : x
  2. Step 2: Convert to fraction form
    919.08/1,267.74 = 564.84/x
  3. Step 3: Cross multiply
    919.08x = 1,267.74 × 564.84
  4. Step 4: Simplify right side
    919.08x = 716,070.26
  5. Step 5: Solve for x
    x = 716,070.26/919.08
  6. Step 6: Final answer
    x = 779.12

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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.