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Finding the Fourth Proportional to 730.94, 1,009.06 and 564.77

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Solution

The fourth proportional to 730.94, 1,009.06 and 564.77 is: 779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.94 : 1,009.06 = 564.77 : x
  2. Step 2: Convert to fraction form
    730.94/1,009.06 = 564.77/x
  3. Step 3: Cross multiply
    730.94x = 1,009.06 × 564.77
  4. Step 4: Simplify right side
    730.94x = 569,887.93
  5. Step 5: Solve for x
    x = 569,887.93/730.94
  6. Step 6: Final answer
    x = 779.67

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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.