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Finding the Fourth Proportional to 789.06, 1,088.86 and 457.50

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Solution

The fourth proportional to 789.06, 1,088.86 and 457.50 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.06 : 1,088.86 = 457.50 : x
  2. Step 2: Convert to fraction form
    789.06/1,088.86 = 457.50/x
  3. Step 3: Cross multiply
    789.06x = 1,088.86 × 457.50
  4. Step 4: Simplify right side
    789.06x = 498,153.45
  5. Step 5: Solve for x
    x = 498,153.45/789.06
  6. Step 6: Final answer
    x = 631.33

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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.