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Finding the Fourth Proportional to 728.41, 1,004.64 and 507.70

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Solution

The fourth proportional to 728.41, 1,004.64 and 507.70 is: 700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.41 : 1,004.64 = 507.70 : x
  2. Step 2: Convert to fraction form
    728.41/1,004.64 = 507.70/x
  3. Step 3: Cross multiply
    728.41x = 1,004.64 × 507.70
  4. Step 4: Simplify right side
    728.41x = 510,055.73
  5. Step 5: Solve for x
    x = 510,055.73/728.41
  6. Step 6: Final answer
    x = 700.23

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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.