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Finding the Fourth Proportional to 904.92, 1,355.88 and 751.80

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Solution

The fourth proportional to 904.92, 1,355.88 and 751.80 is: 1,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.92 : 1,355.88 = 751.80 : x
  2. Step 2: Convert to fraction form
    904.92/1,355.88 = 751.80/x
  3. Step 3: Cross multiply
    904.92x = 1,355.88 × 751.80
  4. Step 4: Simplify right side
    904.92x = 1,019,350.58
  5. Step 5: Solve for x
    x = 1,019,350.58/904.92
  6. Step 6: Final answer
    x = 1,126.45

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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.