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Finding the Fourth Proportional to 728.94, 1,005.26 and 562.90

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Solution

The fourth proportional to 728.94, 1,005.26 and 562.90 is: 776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.94 : 1,005.26 = 562.90 : x
  2. Step 2: Convert to fraction form
    728.94/1,005.26 = 562.90/x
  3. Step 3: Cross multiply
    728.94x = 1,005.26 × 562.90
  4. Step 4: Simplify right side
    728.94x = 565,860.85
  5. Step 5: Solve for x
    x = 565,860.85/728.94
  6. Step 6: Final answer
    x = 776.28

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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.