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Finding the Fourth Proportional to 728.77, 1,004.00 and 507.34

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Solution

The fourth proportional to 728.77, 1,004.00 and 507.34 is: 698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.77 : 1,004.00 = 507.34 : x
  2. Step 2: Convert to fraction form
    728.77/1,004.00 = 507.34/x
  3. Step 3: Cross multiply
    728.77x = 1,004.00 × 507.34
  4. Step 4: Simplify right side
    728.77x = 509,366.82
  5. Step 5: Solve for x
    x = 509,366.82/728.77
  6. Step 6: Final answer
    x = 698.94

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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.