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Finding the Fourth Proportional to 728.79, 1,005.68 and 434.00

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Solution

The fourth proportional to 728.79, 1,005.68 and 434.00 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.79 : 1,005.68 = 434.00 : x
  2. Step 2: Convert to fraction form
    728.79/1,005.68 = 434.00/x
  3. Step 3: Cross multiply
    728.79x = 1,005.68 × 434.00
  4. Step 4: Simplify right side
    728.79x = 436,457.92
  5. Step 5: Solve for x
    x = 436,457.92/728.79
  6. Step 6: Final answer
    x = 598.88

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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.