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Finding the Fourth Proportional to 665.83, 917.77 and 525.72

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Solution

The fourth proportional to 665.83, 917.77 and 525.72 is: 724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.83 : 917.77 = 525.72 : x
  2. Step 2: Convert to fraction form
    665.83/917.77 = 525.72/x
  3. Step 3: Cross multiply
    665.83x = 917.77 × 525.72
  4. Step 4: Simplify right side
    665.83x = 482,490.04
  5. Step 5: Solve for x
    x = 482,490.04/665.83
  6. Step 6: Final answer
    x = 724.64

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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.