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Finding the Fourth Proportional to 914.46, 1,263.93 and 808.80

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Solution

The fourth proportional to 914.46, 1,263.93 and 808.80 is: 1,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.46 : 1,263.93 = 808.80 : x
  2. Step 2: Convert to fraction form
    914.46/1,263.93 = 808.80/x
  3. Step 3: Cross multiply
    914.46x = 1,263.93 × 808.80
  4. Step 4: Simplify right side
    914.46x = 1,022,266.58
  5. Step 5: Solve for x
    x = 1,022,266.58/914.46
  6. Step 6: Final answer
    x = 1,117.89

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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.