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Finding the Fourth Proportional to 665.92, 918.84 and 572.56

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Solution

The fourth proportional to 665.92, 918.84 and 572.56 is: 790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.92 : 918.84 = 572.56 : x
  2. Step 2: Convert to fraction form
    665.92/918.84 = 572.56/x
  3. Step 3: Cross multiply
    665.92x = 918.84 × 572.56
  4. Step 4: Simplify right side
    665.92x = 526,091.03
  5. Step 5: Solve for x
    x = 526,091.03/665.92
  6. Step 6: Final answer
    x = 790.02

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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.