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Finding the Fourth Proportional to 803.84, 1,110.34 and 554.72

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Solution

The fourth proportional to 803.84, 1,110.34 and 554.72 is: 766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.84 : 1,110.34 = 554.72 : x
  2. Step 2: Convert to fraction form
    803.84/1,110.34 = 554.72/x
  3. Step 3: Cross multiply
    803.84x = 1,110.34 × 554.72
  4. Step 4: Simplify right side
    803.84x = 615,923.64
  5. Step 5: Solve for x
    x = 615,923.64/803.84
  6. Step 6: Final answer
    x = 766.23

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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.