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Finding the Fourth Proportional to 716.04, 1,073.50 and 470.78

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Solution

The fourth proportional to 716.04, 1,073.50 and 470.78 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.04 : 1,073.50 = 470.78 : x
  2. Step 2: Convert to fraction form
    716.04/1,073.50 = 470.78/x
  3. Step 3: Cross multiply
    716.04x = 1,073.50 × 470.78
  4. Step 4: Simplify right side
    716.04x = 505,382.33
  5. Step 5: Solve for x
    x = 505,382.33/716.04
  6. Step 6: Final answer
    x = 705.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.